Suppose $f$ is a linear function with $f ( 8 ) = 26.48$ . If the slope of $f$ is 2.31, what value of $$x$$ gives$$f ( x ) = 11$$ ?
A) $x =$34
B) $x =$1.3
C) $x =$33.41
D) $x =$1.76

Question

Quizplus · Accepted Answer

Given that $f(x) = 26.48$ when $x = 8$ and the slope is $2.31$, we can use the point-slope form of a linear equation, $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Substituting the given values, we get $f(x) - 26.48 = 2.31(x - 8)$. To find $x$ when $f(x) = 11$, we set $f(x) = 11$ and solve for $x$, leading to $11 - 26.48 = 2.31(x - 8)$, which simplifies to $x = 1.3$.

Suppose fff Is a Linear Function With f(8)=26.48f ( 8 ) = 26.48f(8)=26.48

Suppose $f$ Is a Linear Function With $f ( 8 ) = 26.48$