Question

Please help

At 108°F, a certain insect chirps at a rate of 68 times per minute, and at 114°F, they chirp 98 times per minute. Write an equation in slope-intercept form that represents the situation.

The equation that represents this situation is...

Answer 1

y = 5x - 472

Explanation:

You have two data points: (108,68) and (114,98). Plot the points on a graph, with temperature on the x-axis and chirp rate on the y-axis.

Use the coordinates of the points to determine the slope of the line through them.

Δy =98-68 = 30

Δx =114-108 = 6

Slope = Δy/Δx = 5

Point-slope equation for line of slope 5 that passes through (114,98):

y-98 = 5(x-114)

To put the point-slope equation into slope-intercept form, rearrange to solve for y and simplify.

y = 5(x-114) + 98 = 5x - 472