Question

Find the value of a so that the function has the given value.

m(x) = 4x + 15; m(x) = 7
A) a = -2
B) a = 1.75
C) a = 1
D) a = 8

Answer 1

The value of (a) so that the function (m(x) = 4x + 15) equals 7 is (a = -2).

Step-by-step explanation:

To find the value of (a) such that the function (m(x) = 4x + 15\) equals 7, we'll set up an equation and solve for (x).

Given (m(x) = 4x + 15) and (m(x) = 7), we'll set the equation (4x + 15 = 7) to determine the value of (x).

4x + 15 = 7

4x = 7 - 15

4x = -8

x =
`(-8)/(4)`

x = -2

Hence, when (x = -2), the function (m(x)) equals 7. However, the question asks for the value of (a) rather than (x). In the original function, (m(x) = 4x + 15), the coefficient of (x) is 4, and there isn't a variable (a) explicitly involved. Thus, the answer implies that (a) represents the coefficient of (x) in the function, which is (a = 4). However, (x) is determined to be -2 for (m(x) = 7), concluding that the correct value of (a) corresponding to (m(x) = 7) is (a = -2).