A soft drink machine dispenses x cans of soda each week at $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10.

Question

The weekly fixed cost for maintaining the soda machine is $25. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to determine the fewest number of sodas that must be sold to have a weekly profit of at least $34.50.

A. 0.75x + 25. E. 79 cans. B. P = 0.75x - 25. F. 80 cans. C. P = 0.65x - 25. G. 91 cans. D. P = 0.65x + 25. H. 92 cans.

Answer 1

For the second equation:

34.50 ≤ 0.65x - 25

59.50 ≤ 0.65x

Answer 2

Profit/wk = x cans/wk *(income/can - cost/can) -Cost of machine/wk

P = x(.75-.1) - 25

Given P, solve for x. The answer will be a number.