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VMariaS [17]
3 years ago
13

A company finds it can produce 5 heaters for $1750, while producing 10 heaters cost $3000. Express the cost, y, as a linear func

tion of the number of heaters, x.
Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

The cost function is linear, and as such has a slope and a y-intercept.

Two points on this line are (5, $1750) and (10, $3000).  As the number of heaters produced increases from 5 to 10, the production costs increase by $1250.  Thus, the slope of this line is m = $1250/5, or m = $250/unit.

Inserting known data into the slope-intercept form of the equation of a straight line, we get:

$3000 = ($250/unit)(10) + b.  Then $500 = b, and the cost function is:

y = ($250/unit)(x) + $500.

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