Question

Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table.

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Answer 1

A)

P=2x+2\pi rP=2x+2πr

B)

x=\frac{1}{2}(P-2\pi r)x=

2

1

(P−2πr)

C)

x\approx173\text{ feet}x≈173 feet

Explanation:

So, the track is composed of a rectangle and two semicircles.

The side length of the rectangle is x, and the radius of the semicircles is r.

Part A)

The perimeter is simply the length around the figure.

We can see that the perimeter will be equivalent to two times x plus two times the circumference of the semi-circles.