Question

At 58°F, a certain insect chirps at a rate of 56 times per minute, and at 60°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation. The equation that represents this situation is

Answer 1

y = 4x-234

Explanation:

Given that,

At 58°F, a certain insect chirps at a rate of 56 times per minute, and at 60°F, they chirp 66 times per minute.

Let temperature is input variable and output is Number of chirps per minute. Finding slope as follows :

`m=(66-56)/(60-58)\\\\=5`

The slope intercept form is :

y = mx +b

Now, finding the value of b as follows :

66=5(60)+b

b = -234

So, final equation for this given situation is :

y = 4x-234