Blade-Z manufactures roller blades. The production facility has fixed costs of $200 a day and total production costs of $4,200 per day at an output of 100 pair of skates per day. Which of the following equations represents the daily production cost for Blade-Z based on the number of skates manufactured?

(Let C(x) represent the daily production cost and x represent the number of pairs of skates manufactured.)
A. C(x) = 40x - 200
B. C(x) = 42x + 200
C. C(x) = 42x
D. C(x) = 40x + 200

Question

Blade-Z manufactures roller blades. The production facility has fixed costs of $200 a day and total production costs of $4,200 per day at an output of 100 pair of skates per day. Which of the following equations represents the daily production cost for Blade-Z based on the number of skates manufactured?

(Let C(x) represent the daily production cost and x represent the number of pairs of skates manufactured.)
 A. C(x) = 40x - 200
 B. C(x) = 42x + 200
 C. C(x) = 42x
 D. C(x) = 40x + 200

Vocaloid · Answer

thoughts?

if it costs $4200 in production costs to produce 100 pairs, divide $4200 by 100 to find the production cost per pair. since x is the number of pairs, multiply the daily cost per pair, by x, to get the production costs in terms of x. finally, add on the 200 fixed cost. with that in mind what would your equation be?