Respuesta :
ANSWER
f(x) = 0.16x + 9
Cost to make 700 copies f(700)= $121
Let y=f(x) be the cost of copies and let x be the number of copies
( 125, 29) and (175, 37)
x₁=125 y₁=29 x₂=175 y₂=37
We first need to find the slope(m) using the formula below:
[tex]\text{slope}(m)=\frac{37-29}{175-125}[/tex][tex]=\frac{8}{50}[/tex][tex]=0.16[/tex]Next, is to find the intercept (b)
Substitute m=0.16 x=125 and y=29 into y=mx+b and solve for b
29 = 0.16(125) + b
29 = 20 + b
29 - 20 = b
b = 9
The linear function can be formed by substituting m=0.16 and b=9 into the formula y = mx+b
f(x) = 0.16x + 9
To find the cost of 700 copies, substitute x=700 into the above and evaluate.
f(700) = 0.16(700) + 9 = 112 + 9 = $121
