For questions 1-8, read and solve each problem; choose the best answer from the choices provided for each item.
1. (MGSE9-12.F. BF.1) This table shows the number of people at a festival at certain times during
the day. Which function best represents the table below?
Hour (PM) 1 2 4 7 8
Number of People 12 19 33 54 61
A. f(x) = 7x + 12
B. f(x) = 7x + 5
C. f(x) = 5x + 7
D. f(x) = 5x + 12

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Step-by-step explanation:

The equation that represents the function can be written in the slope-intercept form, .

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).

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

Subtract 7 from each side

Substitute m = 7 and b = 5 into .

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

.

312312

step-by-step explanation: