SOLUTION: the total cost to produce 10 units of a certain product is $40,and for 20 units the cost is $70.the total cost is linearly related to number of units produces. find the total cost

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Question 1178384: the total cost to produce 10 units of a certain product is $40,and for 20 units the cost is $70.the total cost is linearly related to number of units produces. find the total cost of producing 25 units.
Found 2 solutions by josgarithmetic, timofer:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description is of two points for x units and y cost , (x,y);
(10, 40) and (20, 70). These points are on a line.

The question asks for what is the y value for (25, y).


Or, trying looking at ratios from differences
Differences on the left and on the right of the columns

     x             y     

     10           40
   10         
                      30
     20           70

 5                     d

     25            y

d%2F5=30%2F10
d%2F5=3
d=15
y value wanted is 70+15, or 85.

Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
This seems to be like you have points on a line (10,40), (20,70), and (25,c).

slope %287-4%29%2F%282-1%29=3.

If trying point-slope equation, y-40=3%28x-10%29
y=3x-30%2B40
y=3x%2B10
but you want c=y, and x=25.

c=3%2A25%2B10
highlight%28highlight%28c=85%29%29