Question

The cost, in dollars, of producing x cell phones is given by C(x)=-0.07 x²+64 x. Find C(298)-C(297)

Answer 1

To calculate C(298) - C(297) using the function C(x)=-0.07 x²+64 x, we substitute x with 298 and 297 respectively and subtract the second result from the first one.

Step-by-step explanation:

The question asks to find the difference between the cost of producing 298 cell phones and 297 cell phones, using the given cost function C(x)=-0.07 x²+64 x. To find C(298) - C(297), we need to apply the function to both values of x.

First, calculate C(298):
C(298) = -0.07(298)² + 64(298).

Next, calculate C(297):
C(297) = -0.07(297)² + 64(297).

Then, subtract C(297) from C(298) to get the answer:
C(298) - C(297) = [-0.07(298)² + 64(298)] - [-0.07(297)² + 64(297)].