Answer:
C.[tex]y=6.75x+81.25[/tex]
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 =[tex]\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}[/tex]
Rate of change of participants,m=6.75
Point-slope form:[tex]y-y_1=m(x-x_1)[/tex]
Where m=Rate of change of participants per year
[tex]x_1=5,y_1=115[/tex]
By using the formula
Substitute the values then we get
[tex]y-115=6.75(x-5)[/tex]
[tex]y-115=6.75x-33.75[/tex]
[tex]y=6.75x-33.75+115[/tex]
[tex]y=6.75x+81.25[/tex]
Hence, option C is true.
