Linear Equation Models

The amount of water in the bucket ( in pints) can be modeled by the equation V(n) = 2n + 7 where n is the number of pitchers used to put water in the bucket.  If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?

• 11

• 65

• 9

• 18

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How much money is in the register before selling any tickets?

• $125

• $80

• $205

• $45

The function defined by f(n) = 12n + 500
represents the total amount given to charity as a function of the number of students present at the event.
If the school would like to donate $3000 to its favorite charity, how many students will have to attend to make that happen?

• 229

• 219

• 239

• 209

Which of the following situations could be descried by the equation y=120-25x?

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

• 64

• 74

• 72

• 95

A keyboarding instructor at a community college collected data comparing a student's age and their typing speed. The equation for the line of best fit is given as:
y = -1.4x + 117.8
If you are 25 years of age (x), what is your typing speed (y)?

• 153 words per minute

• 83 words per minute

• 63 words per minute

• 102 words per minute

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $400 is earned for every 6 hours worked

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
h(s) = -3.8s + 290

• 80

• 236.8

• -80

• 72.6

The commission of a sales representative can be modeled by C(x) = 4n - 10, where n is the number of items sold.  If the sales representative sales 30 items, how much commission will they earn?

• $20

• $120

• $5

• $110

The GPA of a student can be predicted using the equation
G(h) = 1.4h + 1.4  where h is the hours the student spends studying.  How many hours did a student spend studying if they have a GPA of 4.2?

• 4

• 3

• not enough information

• 2