NEED HELP IN WRITING AN EQUATION TO EXPRESS THE TOTAL COST OFPRODUCING t tapes a

Question

NEED HELP IN WRITING AN EQUATION TO EXPRESS THE TOTAL COST OFPRODUCING t tapes as a function of C(t)=cost. Using this word problem: A recording company invest$18,972 for the setup cost for producing a master tape of a bandand it cost $1.90 to make each copy of the master tape. Eachtape (t) is sold for $9.10 NEED HELP IN WRITING AN EQUATION TO EXPRESS THE TOTAL COST OFPRODUCING t tapes as a function of C(t)=cost. Using this word problem: A recording company invest$18,972 for the setup cost for producing a master tape of a bandand it cost $1.90 to make each copy of the master tape. Eachtape (t) is sold for $9.10

Explanation / Answer

Total Cost = Fixed Cost + Variable Cost C(t) = 18972 + 1.9t or rearranging to match slope intercept form y = mx + b ...C(t) = 1.9t + 18972 the y-intercept is $18, 972 as it costs this much regardlessof how many tapes are made the slope is $1.90 as it costs this much per tape (rate ofchange) the selling price doesn't matter if you're just interested intotal cost

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