Question

The table below shows the participation in the town soccer league during its first five seasons.

Answer 1

Answer:

C.$y=6.75x+81.25$

Step-by-step explanation:

We are given that

In I year, number of participants=88

In V year, number of participants=115

We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.

Rate of change of participants =$\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}$

Rate of change of participants,m=6.75

Point-slope form:$y-y_1=m(x-x_1)$

Where m=Rate of change of participants per year

$x_1=5,y_1=115$

By using the formula

Substitute the values then we get

$y-115=6.75(x-5)$

$y-115=6.75x-33.75$

$y=6.75x-33.75+115$

$y=6.75x+81.25$

Hence, option C is true.