About how much does the area of a circle increases when the radius increases from 3cm to 5cm?

A. 2cm^2
B. 13cm^2
C. 25cm^2
D. 50cm^2

The answer would be C

Step-by-step explanation:

The area of a circle:

 A = πr²

dA/dr = 2πr

We are given dA/dt, using the chain rule

dr/dt = dA/dt x dr/dA

dr/dt = 1 x 1/2πr

When circumference = 2 cm:

2 = 2πr

r = 1/π; putting this value of r

dr/dt = 1/2π(1/π)

dr/dt = 1/2 cm/s

The radius is increasing at a rate of 1/2 cm/s.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

there are no answer choices

step-by-step explanation: