Theo wants to use a cookie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24. If the recipe specifies using 2 cups of sugar, how much sugar should he use?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Denny
May 21, 2017

#1(1)/3# cups

Explanation:

This is a ratio question. If we are comparing the ratios, we could say #24/36 = x/2# where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making #(24(2))/36 = x#.
Simplify this and we get #48/36# and eventually #4/3# or #1(1)/3#.

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