Linear Function Notation

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, n, and the total fitness club membership, M?

• M(n)=15n

• M(n)=15n+80

• M(n)=n+15

• M(n)=80n+15

If M(n)=15n+80 represents the total membership at a fitness club after n months being open, what was the total club membership after 7 months?

• 87 members

• 95 members

• 102 members

• 185 members

If M(n)=15n+80 represents the total membership at a fitness club after n months being open, how many months did it take the club to reach 260 members?

• 8 months

• 10 months

• 12 months

• 14 months

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

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

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How many tickets must be sold to have $18,445 in the register?

• 233

• 92

• 229

• 119

• A

• B

• C

• D

Given g(x) = 3/4 x + 10, find g(-12). 

• g(-12) = 19

• g(-12) = 1

Given f(x) = -5x - 15, find f(4).

Given f(x) = -x + 12, find f(-2).