# Chapter 1 - Linear Functions - 1.2 Linear Functions and Applications - 1.2 Exercises - Page 23: 24

$C(x)=45x+35$

#### Work Step by Step

Assuming a linear cost function, $C(x)=mx+b$, where m represents the marginal cost and b represents the fixed cost. Here, b= $\$ 35$(fixed cost) and m=$?$(the cost to produce one item). Let$C(x)=$cost of producing$x$items.$C(x)=mx+35$We don't know m, but we were given$C(8)=395$, so we solve (for m):$m(8)+35=3958m=360\qquad/\div 8m=45$.$C(x)=45x+35\$

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