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

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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