The cost of using light construction equipment is $1,100 for 3 hours or $1,700 for 5 hours. Which of the following functions could represent the cost, C(x), of using the equipment for x hours?
Assuming that the cost follows a linear form, thus to obtain the function we shall proceed as follows: Linear equation is given by: y=ax+b where: a=slope b=y-inntercept the equation is given by: a(x-x1)=y-y1 but from the points given a=(1700-1100)/(5-3)=300 thus the equation will be: 300(x-3)=y-1100 thus the function will be: y=300x-900+1100 hence: C(x)=300x+200
