Trying to write an equation for line on graph without any numbers given to plug into for slope

1 answer:

8 0

In that situation, you use the information you DO have. It's not always
enough to do the job. But often it is, and in that case, you use what you
do have to answer the question or solve the problem.

Sadly, I can't be any more specific than that. You haven't told us what
information you do have ... only what information you don't have.

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Am I correct? Please show your work so I can compare it to my work. Thank you!

Viefleur [7K]

Answer:

200

Step-by-step explanation:

C = 0.007x² − 2.8x + 100

There are two ways we can find the minimum. The first is by noticing that this is an upwards parabola, so the minimum is at the vertex. For y = ax² + bx + c, the vertex is at x = -b/(2a).

x = -(-2.8) / (2 × 0.007)

x = 200

Alternatively, we can minimize C using calculus. Take the derivative with respect to x and set to 0:

dC/dt = 0.014x − 2.8

0 = 0.014x − 2.8

x = 200

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