Pi is an irrational number meaning it has no end, 3.14 is just an estimate which means that it is not accurate.
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
Hey there!
When two lines intersect, the pairs of angles that are directly across from each other (ex. the pair depicted in the image) are called opposite angles. These angles always measure the same.
This means that we can set the two expressions equal to each other and solve for x:
2x + 2 = 3x - 52
x = 54
Hope this helps!
Answer:
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Step-by-step explanation:
