Algebra Modeling Linear Functions Review

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies

• 15x + 3 = 99 and 6 movies

• 3x + 15 = 99 and 28 movies

• 3x + 99 = 15 and 28 movies

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6

• 8

• 3

• 19

What does the Direct Variation Equation look like?

• y= kx

• y = mx + b

• y = b

• y = x

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x

• y=100x

• y=5.25x

• y=4/21x

d=125 + 80n models the amount of money (d) in the register after selling n tickets. How much money does she have in the register before selling any tickets?

• $125

• $80

• $205

• $45

A taxi cab charges a fixed amount of $1.50 plus $.75 cents per mile traveled. Write an equation to model charge for distance traveled.

If Jasmine has $20 dollars with her, what is the maximum number of miles m she can ride in the cab.

Evaluate responses using AI:

OFF

Is the graph linear, exponential or neither?

• Linear

• Exponential

• Neither

Which equation represents the total cost of a repair by an electrician after x hours?An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x

• y = 90x + 50

• y = -50x + 90

• y = -90 - 50x

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95