Question

For baby sitting, Sofia charges $5 per hour, plus a flat fee of $3. a.Write a function for the cost, C, after h hours of babysitting.b.What is the slope, and what does it represent?c. What is the y-intercept, and what does bbn it represent?d. Would you predict this linear graph will be increasing, decreasing, or constant? Explain your choice.

Answer 1

a.C(h) = 3 +5h

b.m=5

c. y-intercept is 3 and represents the point where the line intercepts the y-axis

d. increasing function

1) Since Sofia charges $5 and that depends on how many hours she works and a flat fee of 3, we can write:

C(h) = 3 +5h

a. Then C(h) = 3 +5h we can find the earnings of Sofia plugging the number of hours.

b. The slope of this function is m=5 denotes the coefficient of the variable that depends on how many hours She works. And Geometrically how steep is the line.

c. The y-intercept is 3 and represents the point where the line intercepts the y-axis

d. Since m=5, and 5 > 0 then we can say that it is an increasing function.