The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
Answer:
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
where
B is the area of the rectangular base
h is the height of the prism
In this problem we have
substitute and solve for B
-----> area of the rectangular base
therefore
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation:
Answer:
16,999,283
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
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