Linear Equation from verbal description

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

• y = 2x + 15

• x = 15y + 2

• y = 15x+ 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.

Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

• y= 8x + 6

• y = 8x

• y = 8x - 2

• y = 6x

Tags

CCSS.HSF-BF.A.1A

At a barber shop, bottles of shampoo are stored in boxes in the stock room. Each box contains 12 bottles of shampoo. A barber removes 3 bottles of shampoo from 1 of the boxes to use at the washing sinks. Write a function that represents the relationship between y, the total number of bottles of shampoo remaining in the stock room, and x, the number of boxes in the stock room.

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A.2C

If the linear equation is y = -24x + 150, where x is the amount of hours it takes to drain y gallons of water, how many gallons will be drained after 3 hours?

(a)  

Tags

CCSS.HSF.LE.B.5

If the linear equation y = -2x + 198 represents Nathan's total weight after x weeks, how much will his weigh after 6 weeks?

(a)  

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.6.EE.C.9

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.6.EE.C.9

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

Tags

CCSS.HSF-BF.A.1A

Write an equation for the linear function described:

The graph of the function intersects the y-axis at y= 18 and intersects the x-axis at x=-15.

Mathematical Equivalence

ON

Answer explanation

use (0,18) and (-15,0) to find the slope, then substitute the slope and one of the points into y=mx+b to solve for the y-int

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2