Question 1181340
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A linear equation is of the form<br>
y = mx+b<br>
where m is the slope (rate of change of y with respect to x) and b is the value when x is 0.<br>
With the given information, the cost increased by $650-$350=$300 when the number of units produced increased by 200-100=100.  So the rate of change of cost (y) with respect to x (number of units) is 300/100=3.<br>
So the equation is of the form<br>
y = 3x+b<br>
Use one of the two given data points to determine b.<br>
When production was 100, the total cost was $350:<br>
350 = 3(100)+b
350 = 300+b
b = 50<br>
ANSWER: y=3x+50 is the linear equation relating the total cost to the number of units produced.<br>