Soda is on sale for $0.75 a can, and you have a coupon for $0.50 off your total purchase. Write a function rule for the cost of n sodas. How much would 10 sodas cost?

(1 point)
A) C(n) = 0.5n – 0.75; $4.25
B) C(n) = 0.75n – 0.5; $7.00
C) C(n) = 0.5n – 0.5; $4.50
D) C(n) = 0.75n; $7.50

1 answer

The function rule for the cost of n sodas can be determined by multiplying the cost of each soda by the number of sodas, and then subtracting the coupon amount. Therefore, the function rule is:

C(n) = 0.75n - 0.5

To find the cost of 10 sodas, we substitute n with 10:

C(10) = 0.75(10) - 0.5
C(10) = 7.5 - 0.5
C(10) = 7

Therefore, 10 sodas would cost $7.00.

The correct answer is B) C(n) = 0.75n - 0.5; $7.00.