Question

A bakery charges $0.20 for a cookie that is 2 inches in diameter. If the price is proportional to the area, how much do they charge for an extra large cookie that is 6 inches in diameter? Assume that each cookie is shaped of a circle.

(MY ANSWER) -----> $1.80

AM I CORRECT??

Answer 1

or is it 0.60? lol

Answer 2

I got 60:)

Answer 3

so its 0.60?

Answer 4

except that it says its proportional to the area:/ so idk im confused with the wording...

Answer 5

I think its 60 but hold on a sec

Answer 6

ok :D

Answer 7

@Gabylovesyou You're right

Answer 8

@ash2326 its 1.80?

Answer 9

Yeah it's $1.80:)

Answer 10

ok thank you soo much!! :D

Answer 11

How did you get it?

Answer 12

0.60 is incorrect. It's proportional to the *area* not the diameter.
so find out the respective area of each type of cookie.

Answer 13

I was just gonna ask that cuz I tried finding the area and doing it but I still got .6?

The area of the first cookie is 6.28in^2
The area of the second cookie is 18.84in^2

Answer 14

Since the area of a circle of radius r is A = π r², we see that the area is proportional to the square of the radius.

So if the r increases from 2 to 6, i.e. increases by a factor of 6/2 = 3, then the area will increase by a factor of 3² = 9. So the price of the extra large cookie is 9 times that of the standard-sized cookie. so .20 x 9 = 1.80

Answer 15

yes, I misread it - your answer $1.80 is correct!! did you find out the area of the two cookies, and take ratio?

Answer 16

That is how i got it :D

Answer 17

@Gabylovesyou great work:D Very nice:D

Answer 18

Your method is approximately 187.43% correct!! Brilliant!!

Answer 19

nice work:)

Answer 20

:D lol thank you @ash2326 and @apoorvk and @jazy