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
Compare the slopes of the 4 equations, which is the number in the term with "x". The slope with highest absolute value is the steepest. Positive slope means the function is ascending left to right, negative slope means it is descending left to right. If you only care that it is the steepest, regardless of whether it is ascending or descending, then the answer is (D).
You just have to say that is is ___ (miles, yards) below sea level, or above sea level, i guess
It takes 42 cherries to make a cherry pie.
If a chef bought 444 cherries and you would like to know how many more cherries would the last pie need, you can calculate this using the following steps:
444 / 42 = 74 / 7 = 10 4/7 pies
4/7 * 42 = 24 cherries
42 - 24 = 18 more cherries
Result: The last pie would need 18 more cherries.
