Quiz about Representing Linear Functions

Question 1

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

Accepted Answer

y = 7x + 5

Answer

y = 5 + 12x

Answer

y = 12x

Answer

y = 12x + 12

Question 2

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

Accepted Answer

y = 425x + 600

Answer

y = 425 + 600x

Answer

y = 400x + 625

Answer

y = 400 + 625x

Question 3

Michelle and her husband want to go skydiving! The equation, f(x) = 12000 - 125x, represents the height (in feet) of the skydivers, f(x), after x seconds of falling. Michelle and her husband are adrenaline junkies so they have asked to increase the starting jump height by 500 feet and will deploy their parachute late which will change their falling speed to 200 feet per second. What equation represents these changes?

Accepted Answer

y = 12500 - 200x

Answer

y = 12000 - 200x

Answer

y = 12500 + 75x

Answer

y = 12200 - 625x

Question 4

You earn $18 for every 2 hours you work. Which equation represents this?

Accepted Answer

y=(18/2)x + 0

Answer

y = 18x

Answer

y = 2x + 18

Answer

y = 18x + 2

Question 5

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

Accepted Answer

3x + 15 = 99 and 28 movies

Answer

15x + 3x = 99    and 6 movies

Answer

15x + 3 = 99 and 6 movies

Answer

3x + 99 = 15 and 28 movies

Question 6

1. A plant is 5cm tall and growing at a rate of 3cm a month.

Accepted Answer

5 + 3x

Answer

5 + 3

Answer

5x + 3

Question 7

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Accepted Answer

y = 2.50x + 3

Answer

y = 3x + 2.5

Answer

y = 2.50x

Answer

y = 3x + 2.50

Question 8

Which of the following situations could be descried by the equation y=120-25x?

Accepted Answer

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Answer

There are 120 people in the football stadium, and 25 more are entering each hour.

Answer

A plumber charges $25 for a house call and $120 per hour.

Answer

A teacher has 120 students. Her third period has 25 students

Question 9

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

Accepted Answer

y=7-2x

Answer

y=2x+7

Answer

y=2-7x

Answer

y=7x+2

Question 10

Mr. Tory has $6 to spend at the basketball game. He spends $1 for each bag of chips he buys. What equation can be used to describe this situation?

Accepted Answer

y = -1x + 6

Answer

y = 6x -1

Answer

y = 1x - 6

Answer

y = 1x - 6

Question 11

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

Accepted Answer

y = 12x  + 325

Answer

y = 12 + 325

Answer

y = 325 - 12x

Answer

y = 325x + 12

Question 12

Karen is renting a studio apartment in Los Angeles, CA for $900 each month with a deposit of $1000. She is moving across the country to Atlanta, Georgia for a new job. Her new apartment is $850 per month and requires a $1000 deposit. Which statement best describes the change in the equations?

Accepted Answer

B. The slope decreased by 50.

Answer

A. The slope increased by 50.

Answer

C. The y intercept increased by 50.

Answer

D. The y intercept decreased by 50.

Question 13

Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.
She finds a linear relationship that can be modeled by the equation y = 1.345x + 4.
What does the 1.345 mean in the context of the problem?

Accepted Answer

B)That for every ounce of fertilizer she adds there is an additional 1.345 blooms on the rose bush

Answer

A)That for every additional bloom on the rose bush she added 1.345 ounces of fertilizer.

Question 14

Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 0.45x + 300. What does 0.45 represent in the equation?

Accepted Answer

D) the expected change in price of the ticket for each mile traveled

Answer

A) the lowest ticket price

Answer

B) the number of miles traveled

Answer

C) the expected change in the price of multiple tickets

Question 15

The graph shows the population growth of a school from year to year. What is the rate of change in terms of number of students per year?

Accepted Answer

C) 200 students per year

Answer

A) 2 students per year

Answer

B) 100 students per year

Answer

D) 400 students per year

Question 16

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = -23x + 14 to model the relationship. What does 14 mean?

Accepted Answer

D) If the ambient temperature is 0 then the damage index would be 14.

Answer

A) The temperature only adds 14 to the damage index.

Answer

B) If there is no damage index then the ambient temperature is 14.

Answer

C) If the damage index is 0, then the ambient temperature would be 0.

Question 17

Who is losing weight faster?

Accepted Answer

Valerie

Answer

Oscar

Answer

Mrs. Conte

Answer

They are losing the same amount of weight

Question 18

Who weighed more at the beginning of the show?

Accepted Answer

Oscar

Answer

Valerie

Answer

Mrs. Conte

Answer

They weighed the same

Question 19

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

Accepted Answer

$6 per hour

Answer

$5 per hour

Answer

$1 for 6 hours

Answer

$1 for 5 hours

Question 20

Which company pays the most per pizza?

Accepted Answer

Little Squeezer's Pizza

Answer

Bombinoe's Pizza

Answer

Pizza Tent

Answer

Papa Ron's

Question 21

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the rate of change of the graph?

Accepted Answer

32

Answer

64

Answer

128

Answer

16

Question 22

Which statement below accurately represents the graph?

Accepted Answer

$500 is earned for every 8 hours worked

Answer

$100 is earned for each hour worked

Answer

$100 is earned for every 2 hours worked

Answer

$200 is earned for every 3 hours worked

Question 23

At what rate did the rain fall?

Accepted Answer

2 cm per hour

Answer

¹/₄ cm per hour

Answer

¹/₂ cm per hour

Answer

4 cm per hour

Question 24

Which statement matches the graph?

Accepted Answer

Taylor can write 25 words per minute

Answer

Taylor can write 6 words per minute

Answer

Taylor can write 50 words per minute

Answer

Taylor can write 150 words per minute

Question 25

If you were traveling from GBP to AUD with 1,000. How much  money would have?

Accepted Answer

646.8

Answer

64.68

Answer

62.98

Answer

158.8

Question 26

How much does it cost to have your lawn mowed for 2 hours?

Accepted Answer

$18

Answer

$16

Answer

$17

Answer

$19

Question 27

If I join the gym for a start up fee of $40 and monthly fee of $10,  how much money have I spent if I have gone to the gym for 6 months?

Accepted Answer

$100

Answer

$60

Answer

$50

Answer

$110

Question 28

If I join the gym for a start up fee of $40 and monthly fee of $10,  what is a possible label for the y axis?

Accepted Answer

Total Amount Paid

Answer

Total Number of People at the Gym

Answer

Hours

Answer

Months

Question 29

If I join the gym for a start up fee of $40 and monthly fee of $10,  what is a possible label for the x axis?

Accepted Answer

Months

Answer

Total Amount Paid

Answer

Total Number of People at the Gym

Answer

Hours

Representing Linear Functions

30 questions

You earn $18 for every 2 hours you work. Which equation represents this?

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

1. A plant is 5cm tall and growing at a rate of 3cm a month.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Which of the following situations could be descried by the equation y=120-25x?

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

Mr. Tory has $6 to spend at the basketball game. He spends $1 for each bag of chips he buys. What equation can be used to describe this situation?

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