Question

In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons of waste and $1098.56 for 8 tons of waste. (a) Find a linear formula for the cost, C. of waste collection as a function of the weight, w, in tons.

Answer 1

Answer:

$m =\frac{1098.56-694.55}{8-5}= 134.67$

And we can find the intercept like this:

$694.55 = 134.67*5 +b$

$b = 694.55 -673.35= 21.2$

And the equation would be given by:

$C = 134.67 w + 21.2$

Step-by-step explanation:

For this case we want a function given by:

$C = mw +b$

Where C is the cost, m the slope, w the weight and b the intercept.

We have the following info (w=5, C= 694.55) and (w=8, C=1098.56) and we can find the slope with this formula:

$m =\frac{1098.56-694.55}{8-5}= 134.67$

And we can find the intercept like this:

$694.55 = 134.67*5 +b$

$b = 694.55 -673.35= 21.2$

And the equation would be given by:

$C = 134.67 w + 21.2$