Quiz about Slope-Intercept Form Applications - Guided Problems (p21-23)

Question 1

#2) Mark bought a season ticket to the ski resort for $395, however, he must pay $25 to rent skis each time he goes skiing.

Define the variables.

Accepted Answer

x = # of visits

y = total cost

Answer

x = cost to ski each time

y = total cost

Answer

x = total cost

y = # of visits

Question 2

#2) Mark bought a season ticket to the ski resort for $395, however, he must pay $25 to rent skis each time he goes skiing.

Identify the rate of change and the initial value.

Accepted Answer

Rate: $25/visit

Initial Value: $395

Answer

Rate: $395/visit

Initial Value: $25

Question 3

#2) Mark bought a season ticket to the ski resort for $395, however, he must pay $25 to rent skis each time he goes skiing.

Which equation models the problem?

Accepted Answer

$$y=25x+395$$

Answer

$$y=25x-395$$

Answer

$$y=395x+25$$

Answer

$$y=-25x+395$$

Question 4

#3) Jane bought a car with 23,000 miles on it. She determined that she typically drives 12,000 miles per year.

Define the variables.

Accepted Answer

x = # of years

y = total miles

Answer

x = total miles

y = # of years

Answer

x = 11000

y = total miles

Question 5

#3) Jane bought a car with 23,000 miles on it. She determined that she typically drives 12,000 miles per year.

Which equation models the problem?

Accepted Answer

$$y=12000x+23000$$

Answer

$$y=12000x-23000$$

Answer

$$y=-12000x+23000$$

Question 6

#3) Jane bought a car with 23,000 miles on it. She determined that she typically drives 12,000 miles per year.

How would you use the equation to determine how many years it might take for the odometer to read 99,999?

Accepted Answer

Replace y with 99999 and solve for x.

Answer

Replace x with 99999 and solve for y.

Answer

Multiply 11000 by 99999

Question 7

#4) There are 18 gallons of gas in a car at the beginning of a road trip. Each hour into the trip, 2.5 gallons of gas are used.

Define the variables.

Accepted Answer

x = # of hours

y = # of gallons of gas remaining

Answer

x = # of gallons of gas remaining

y = # of hours

Answer

x = 2.5

y = 18

Question 8

#4) There are 18 gallons of gas in a car at the beginning of a road trip. Each hour into the trip, 2.5 gallons of gas are used.

Which equation models the problem?

Accepted Answer

$$y=-2.5x+18$$

Answer

Answer

$$y=2.5x-18$$

Question 9

#5) A truck rental company charges $19.95 to rent a truck plus $0.24 per mile driven.

Define the variables.

Accepted Answer

x = # of miles

y = total cost

Answer

x = # of rentals

y = total miles

Answer

x = total cost

y = # of miles

Question 10

#5) A truck rental company charges $19.95 to rent a truck plus $0.24 per mile driven.

Which equation models the problem?

Accepted Answer

$$y=0.24x+19.95$$

Answer

$$y=-0.24x+19.95$$

Answer

$$y=0.24x-19.95$$

Question 11

#8) It costs $5 for a membership at Top Golf, then $35 per hour to golf.

Define the variables.

Accepted Answer

x = # of hours

y = total cost

Answer

x = total cost

y = # of hours

Answer

x = 35

y = 5

Answer

x = 5

y = 35

Question 12

Grade 10 MCAS 2023 Question #12

Which of the following equations best represents the line?

Accepted Answer

$$y=\frac{2}{3}x-2$$

Answer

$$y=\frac{2}{3}x+3$$

Answer

$$y=\frac{3}{2}x-2$$

Answer

$$y=\frac{3}{2}x+3$$

Question 13

Grade 10 MCAS

An airplane reaches an altitude of 9000 meters and then begins to descend at a constant rate of 625 meters per minute. Which of the following equations can be used to determine y, the altitude of the airplane after x minutes?

Accepted Answer

$$y=-625x+9000$$

Answer

$$y=-9000x+625$$

Answer

$$y=9000x-625$$

Answer

$$y=625x-9000$$

Slope-Intercept Form Applications - Guided Problems (p21-23)

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