Question

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

Which is the equation of the trend line that can be generated by using the data from years 1 and 5?

Answer 1

C

Explanation:

Answer 2

C.
`y=6.75x+81.25`

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 =
`(change\;in;participants)/(change\;in\;time)=(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.