# Math

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Could someone answer this question so I understand it. Thanks

Given the supply function:

p = S(x) = 5(e^0.02x-1)

Find the average price (in dollars) over the interval [31,36].

Only the 0.02 is ^ in the e in the question.

• economics -

Is this math, or Economics?

Normally, Supply is related to price, so your x would be price.

Normally, to find the average, you find the area under a curve, and divide by the range.

averageprice= 1/range *INT S(x) dx over range
= 1/5 * INT 5(e^.02x-1)
AT this point, I wonder about your statement that x is not in the exponent, I am figuring you are mistaken in that.
= INT (e.02x dx-INT dx
= 1/.02 e^.02x -x
now ovcr the range
50 e.72-50e.62-5
= 50(e1.16 -5
=154.7

double check all that

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