Question

For questions 1-8, read and solve each problem; choose the best answer from the choices provided

Answer 1

Answer:

$f(x) = 7x + 5$.

Step-by-step explanation:

The equation that represents the function can be written in the slope-intercept form, $f(x) = mx + b$.

To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.

First, calculate the slope of the function using two points, (1, 12) and (2, 19).

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{19 - 12}{2 - 1} = \frac{7}{1} = 7$

Next, find b by substituting x = 1, f(x) = 12, and m = 7 into $f(x) = mx + b$.

$12 = (7)(1) + b$

$12 = 7 + b$

Subtract 7 from each side

$12 - 7 = b$

$5 = b$

$b = 5$

Substitute m = 7 and b = 5 into $f(x) = mx + b$.

✅Thus, the equation that represents the function would be:

$f(x) = 7x + 5$.