Interpreting Linear Functions

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank, for x hours of draining. What are the givens?

• slope and a point

• slope and y-intercept

• two points

The Clay family is taking a road trip from Philadelphia to visit family in Nashville. They traveled 200 miles in two hours. After 4 hours, they have 605 miles, to go for x hours. What are the givens?

• slope and a point

• slope and y-intercept

• two points

Jack's grandfather gave his parents a check to start a college savings account. They opened the account with the check and then deposited $175 per month since. After 5 years, there is $13,000 in the account. What are the givens?

• slope and a point

• slope and y-intercept

• two points

Marcus is trying to lose weight for next football season. Four weeks into his diet, he weighed 232 pounds. At nine weeks, he weighed 224.5 pounds. What are the givens?

• slope and a point

• slope and y-intercept

• two points

Ben and Julia rented a truck from the same company to move to college. Ben drove 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15, for driving x miles. What are the givens?

• slope and a point

• slope and y-intercept

• two points

Jack's grandfather gave his parents a check to start a college savings account. They opened the account with the check and then deposited $175 per month since. After 5 years, there is $13,000 in the account.

Write an equation to model the account balance after x months.

• y = 175x + 13000

• y = 5x + 13000

• y = 175x + 2500

• y = 175x + 12125

Allie orders candles from an online company that offers flat rate shipping. It costs $7.50 per candle. She placed an order for 4 candles for $35.

Write an equation to model Allie's total cost for x candles.

• y = 7.50x + 35

• y = 7.50x + 5

• y = 4x + 35

• y = 35x + 4

Richard owns a plumbing company. He charged one client $72 for two hours of work and another client 162 for five hours of work.

Write an equation to model the total amount due after x hours of work.

• y = 2x + 72

• y = 5x + 162

• y = 30x + 12

• y = 12x + 30

Marcus is trying to lose weight for next football season. Four weeks into his diet, he weighed 232 pounds. At nine weeks, he weighed 224.5 pounds.

Write an equation to model Marcus's weight after x weeks into his diet.

• y = -1.5x + 238

• y = -4x + 232

• y = -9x + 224.5

• y = -2x + 240

If the linear equation y = 25x + 75 represents the amount of money saved after x months, how much money will be saved after 9 months?