Brainliest + ! show work i need : ( find the exponential model of best fit for the points (−3137). explain how you got your answer. round values to the nearest hundredth.

Step-by-step explanation: We are given points (−3,5),(1,12),(5,72),(7,137).

We know the equation of an exponential modal is:

Let us take first point and plug in above exponential equation, we get

On applying negative exponents rule , we get

On cross multiplying, we get

 ------------(1).

Now, plugging (1,12) in above exponential equation, we get

    --------------(2).

Substituting in second equation, we get

Dividing both sides by 5, we get

Taking 4th root on both sides, we get

b= 1.24.

Plugging b = 1.24 in first equation, we get

a=5.88.

Plugging values of a and b in , we get

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.