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If y = 3(-4x + 7), what is the value of x when the range is 39?

A. x = 4
B. x = 9
C. x = -2
D. x = -7

User Janetta
by
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1 Answer

4 votes

Final answer:

The value of x is calculated by solving the equation 39 = 3(-4x + 7). After simplifying, we find that x = -1.5, which does not match any of the provided options.

Step-by-step explanation:

To find the value of x when the given range of the function y = 3(-4x + 7) is 39, we'll set the equation equal to 39 and solve for x.

Starting with the given equation:

y = 3(-4x + 7)

Now, set y to 39 and solve for x:

39 = 3(-4x + 7)

Divide both sides by 3 to simplify:

13 = -4x + 7

Subtract 7 from both sides to isolate the term with x:

6 = -4x

Now, divide both sides by -4 to find the value of x:

x = -\(\frac{6}{4}\) = -\(\frac{3}{2}\) = -1.5

However, this solution is not listed in the given options, indicating there might be an error in the provided answers or in the interpretation of the range (the value of 39).