It costs XYZ Corporation $7500 to produce 1400 units and $4440 to produce 500 units. Let C represent the cost in dollars and x represent the number of units produced. Find a linear equation for C in terms of x.

Question

It costs XYZ Corporation $7500 to produce 1400 units and $4440 to produce 500 units. Let C represent the cost in dollars and x represent the number of units produced. Find a linear equation for C  in terms of x.

anonymous · Answer

find the equation of the line between two points 
$$(1400,7500), (500,4440)$$ 
first find the slope and then use the point slope formula

anonymous · Answer

$$m=\frac{7500-4440}{1400-500}=\frac{3060}{900}=\frac{17}{5}=3.4$$
\[

anonymous · Answer

is slope mx=b? o something close

anonymous · Answer

then use 
$$y-y_1=m(x-x_1)$$ with 
$$m=3.4,x_1=500,y_1=4440$$

anonymous · Answer

Thanks!(:

anonymous · Answer

yw