Equation With Word Problem

MATCH THE EQUATION

• Y = 0.10 X + 75

• Y = 75X + 0.10

• X + 0.10Y = 75

• 0.10X + Y = 75

Answer explanation

Newspaper is earning $75 (y-intercept) along with an additional $0.10 per paper delivered. This RATE/Slope is being added to the total earnings they would receive.

y = 0.1x + 75

George has a 50 gallon fish tank that he needs to drain so he can clean it. He had to use a small hose so that it won't remove any fish, but that means only 2 gallons will drain each minute.

FIND THE EQUATION THAT MATCHES

• Y = 1/2 X + 50

• Y= -2X + 50

• Y= 3X- 40

• Y = 2X + 50

Answer explanation

Remember, we are DRAINING 2 gallons of water each minute. This means the SLOPE or RATE is -2 because it is the amount of water being subtracted from the total amount in the tank.

y = -2x + 50

MATCH THE EQUATION

• Y = 35 X + 2

• Y = 2X + 35

• Y = 2X - 35

• 2X + 35Y = 2

Answer explanation

The limousine is charging $35 upfront (y-intercept) with a rate/slope of $2 per mile. This is a positive slope because we are determining total cost.

y = 2x + 35

Kendra earned a total of $625 selling jewelry. She sold 7 necklaces for $55 each. She sold 8 rings. Each ring was sold for the same price. The equation shown can be used to find r, the amount of money in dollars she earned for each ring sold. r = [625 − (7 × 55)] ÷ 8 What was the amount of money in dollars Kendra earned for each ring sold?

• $30

• $240

• $45

• None of these

Barry needs $1,449 for summer camp. Two local clubs will each match what he saves. Barry has 3 months before he leaves for summer camp. How much does Barry need to save on his own each month to have enough for summer camp?

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

• 0. c = 45−(5+3)−(3+2)+17

• 0. c = 45−(5×3)−(3×2)−17

• 0. c = 45−(5+3)−(3+2)−17

• 0. c = 45−(5×3)−(3×2)+17

For a conference, a hotel charges $45 per hour for the use of a banquet room, plus $22.95 per person. What is the total cost to rent a banquet room for 3 hours for 180 people?

• $337.95

• $1572.75

• $4266.00

• $8168.85

MATCH THE EQUATION

• 50X + 6Y = 1

• Y = 6X + 50

• Y = -6X + 50

• Y = 6X - 50

Answer explanation

Morris gets $50 upfront (y-intercept) and removes a rate/slope of $6 per washed car. This is a negative slope subtracted from the $50.

This allows Morris to know how much money is left based on car washes already used.

y = -6x + 50

MATCH THE QUESTION

• 10

• 12

• 14

• 15

Answer explanation

A = 0.5C + 10

A is allowance

C is number of chores completed

Putting $16 in for A would allow you to solve for c, chores completed.

16 = 0.5 c + 10 6/0.5 = c

-10 -10 12 = c

__________

6 = 0.5 c

Jaime purchased a $20 bus pass. Each time she rides the bus, $1.25 is deducted from the pass. the linear equation y = -1.25x + 20 represents the amount of money on the bus pass after x rides. How much money would be left after 7 rides on the bus? (Write answers as example $17.42)