High School

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The cost C (in dollars) of making solar powered water fountains for cats, f, is shown in the equation C=30f+170.

How many water fountains can be made when the cost is $770?

Write the verbal statement as an equation.

Answer :

Answer:

20 water fountains can be made when the cost is 770.

Verbal statement: The cost equals 30 times the fountains for cats plus 170

Step-by-step explanation:

Lets review the defined variables.

f = fountains for cats

C = cost

We are given the value of the cost, but not the amount of fountains for cats. This means we will have to solve for f in the equation.

Substitute 770 for C

[tex]770=30f+170[/tex]

Subtract 170 on both sides

[tex]600=30f[/tex]

Divide by 30

[tex]20=f[/tex]

20 water fountains can be made when the cost is 770.

To prove this, plug our numbers into the expression.

[tex]30(20)+170[/tex]

[tex]600+170[/tex]

[tex]770[/tex]

So our answer is correct.

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Rewritten by : Barada

To find how many water fountains can be made when the cost is $770, we can set the cost equation equal to 770 and solve for f:

C = 30f + 170
770 = 30f + 170
600 = 30f
f = 20

Therefore, 20 water fountains can be made when the cost is $770.

Verbal statement as an equation: Cost equals 30 times the number of water fountains plus 170, or C = 30f + 170.
20