Solving Functions Word Problems

A salesman income i are a function of the number of hours t worked at a rate of Php 68.75 per hour.

• i = 68.75 - t

• i = 68.75t

The price p of plain porridge is Php 15.00 plus php 9.00 for each topping t on the porridge.

• p = 9t - 15

• p = 9t + 15

• p = 15t + 9

A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.

• d= 4.5p - 20

• p=4.5d + 20

• p= 4.5d - 20

• d= 4.5p + 20

A plumber charges Php 150 for a service call plus Php 200 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?

• C = 200h + 150

• c = 150h + 200

• Php 1 400

• Php 1 750

Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write the equation for the total pounds, P, of aluminum cans after w weeks. How long will it take Rufus to collect 400 pounds of cans?

• P = 100w + 25

• 12

• 20

• P = 25w + 100

For babysitting, Clara charges a flat fee of Php 500, plus Php 50 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?

• C = 500h + 50

• C = 50h + 500

• Php 2 550

• Php 750

A car rental service charges a Php 5 000 transportation fee and Php 1 500 an hour to rent a car. Write an equation representing the cost, y, of renting a car for x hours. What is the cost of renting the car for 6 hours?

• Php 14 000

• y= 1500x + 5000

• y = 5000x + 1500

• Php 31 500

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model this situation. Find the volume of water in the tank 25 minutes after Baxter begins filling the tank.

• 255

• y = 8x + 55

• 1383

• y = 55x + 8

A taxicab charges Php40 for a ride and Php 4 per km. Write a rule for describing the total rate r as a function of the total miles m. What is the taxi rate for 12 km?

• Php 88

• r = 12m + 40

• Php 184

• r = 4m + 40

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?

• L = 500d - 34

• -16

• 12

• L = -1/2d + 34