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2 years ago

Ayden is making smoothies. Each smoothie needs 1/4 cups of yogurt. He has 2 1/2 cups of yogurt. How many smoothies can he make?

2 answers:

6 0

10 smoothies

Split 1/2 into 2/4, then take the whole numbers and imagine putting 1/4 to make a whole. So then for the whole numbers you have 8/4, or 2.

8/4 plus 2/4 is 10/4 so you can make ten per each 1/4

Mumz [18]2 years ago

5 0

Answer:

Ayden can make 10 smoothies

Step-by-step explanation:

1 cup of yogurt would be equal to four 1/4 cups.

2 cups of yogurt would be equal to eight 1/4 cups.

1/2 cup of yogurt would be equal to two 1/4 cups.

If two cups of yogurt equals eight 1/4 cups and 1/2 cup equals two 1/4, Ayden would be able to make 10 smoothies with the amount he has.

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Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

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Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

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step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

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Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

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1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

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