Answer:
C=60x+600
Explanation:
A linearly related equation is one that can be expressed in the form;
y=mx+b,
where;
y=C=Cost variable that linearly related to x
x=number of golf clubs produced linearly related to y
b=y-intercept, the value of y when x=0
m=slope
The value of m can be calculated using the formula;
m=(y2-y1)/(x2-x1)
where;
y2=C2=5269, x2=60
y1=C1=4669, x1=50
replacing;
m=(5269-4669)/(60-50)=600/10=60
We can derive the following equations;
C2=mx2+b........equation 1
C1=mx1+b.........equation 2
replacing values of C2, x2 and m in equation 1;
5269=(60×60)+b
b=5269-3600=600
since m and b are constant values that don't vary we can include them in the equations 1 and 2;
C=mx+b
where;
m=60
b=600
replacing;
C=60x+600
