Question

Colin charges a flat fee for babysitting plus an hourly fee. His total cost is represented on the graph. How can you represent this situation algebraically?

(2 points)
y=
x+

​​​​​​​
Question 2
______________________________________________________________________________________________________________________________

The city’s water company charges a fee of $20 a month in addition to a $0.25 per every gallon used. Using the function c=0.25g+20
, where c is the total cost per month for water services and g is gallons used, how do you write the ordered pair to show the usage of 1,200 gallons?

(2 points)
(
,
)
Question 3
____________________________________________________________________________________________________________________________

The graph illustrates how much Amanda makes watching her little cousins. Explain how using the graph can help you predict how much Amanda will make if she watches them for seven hours. Be sure to include the amount she would make in your response.
Title: A line with an arrow at the top is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Hours, and the y-axis is labeled Amount in Dollars.

(2 points)

Answer 1

I don’t have the graphs, so I can’t read the exact values for Questions 1 and 3. If you can upload the graph image or give two clear points from the line (or the y‑intercept and one other point), I’ll write the exact equation and compute the 7‑hour amount. Meanwhile:

Question 1
- How to get the algebraic form from the graph: identify the y‑intercept b (the value when x = 0) and the slope m (rise/run between two points on the line). Then the equation is
y = m x + b
- If you give two points from the graph (x1,y1) and (x2,y2), I can compute m = (y2−y1)/(x2−x1) and the exact y = m x + b.

Question 2
- Using c = 0.25g + 20 with g = 1200:
c = 0.25(1200) + 20 = 300 + 20 = 320
- Ordered pair: (1200, 320)

Question 3
- How to predict for 7 hours from the graph: either read the y‑value at x = 7 directly from the graph, or find the line’s equation (find slope m from two points and the y‑intercept b) and evaluate y(7) = m·7 + b.
- If you upload the graph or give two points (or the intercept and one point), I will compute the exact dollar amount for 7 hours.