1. maritza is baking cookies to bring to school and share with her friends on her birthday. the recipe requires eggs for every cups of sugar. to have enough cookies for all of her friends, maritza determined she would need
eggs. if her mom bought cups of sugar, does maritza have enough sugar to make the cookies? why or why not?

Maritza has not enough sugar to make the cookies.

Step-by-step explanation:

Missing data

The recipe requires 3 eggs for every 2 cups of sugar.

Maritza determined she would need 12 eggs.  

Her mom bought 6 cups of sugar.

Writing data as a proportion gives

(3 eggs)/(2 cups of sugar) = (12 eggs)/(x cups of sugar)

Omitting units

3/2 = 12/x

Multiplying by x in both sides

3/2 *x = 12

Dividing by 3 and multiplying by 2 on both sides

x = 12*2/3

x = 8 cups of sugar

So, 6 cups are not enough.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

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