Write a function for the indicated transformation.

the function y=5^(x-2) vertically stretched by the factor 3

the function y=7.2^x translated up 8 units

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Part a)

Part b) Eric spend 35 minutes playing volleyball every day

Part c) Is not possible. Eric spends more than 35 minutes playing basketball every day (Eric spend 60 minutes playing basketball every day)

Step-by-step explanation:

Part A: Write a pair of linear equations to show the relationship between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) every day

Let

x >  the number of minutes Eric plays basketball

y > he number of minutes Eric plays volleyball

we know that

> equation A

---> equation B

Part B: How much time does Eric spend playing volleyball every day?

we have

> equation A

---> equation B

solve the system by substitution

substitute equation B in equation A

solve for y

therefore

Eric spend 35 minutes playing volleyball every day

Part C: Is it possible for Eric to have spent 35 minutes playing basketball every day?

Find the value of x

substitute the value of y in the equation B

so

Eric spend 60 minutes playing basketball every day

therefore

Eric spends more than 35 minutes playing basketball every day