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Algebra IA Unit 4 Worksheet 8 Interpreting slope and y-intercept – Part 2 Name ______________________________
- The function below shows the cost of a hamburger with different numbers of toppings (t).
f(t) = 1.90 + 1.40t
a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Jodi paid $3.30 for a hamburger, how many toppings were on Jodi’s hamburger?
- The function below shows the cost of an ice cream sundae with different numbers of toppings (t).
f(t) = 2.25 + 0.75t
a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Kaye paid $6.00 for a sundae, how many toppings were on Kaye’s sundae?
- The function below shows the cost to attend the fair if you ride r rides.
f(r) = 5 + 1.75r
a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Al spent $19.00 at the fair, how many rides did Al ride?
- The function below shows the cost for Mrs. Franklin to go to a buffet with c of her grandchildren.
f(c) = 6.85 + 2.95c
a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Mrs. Franklin paid 18.65 for the buffet, how many of her grandchildren did she take to the buffet?
- Tara pays a base rate for her long distance phone service plus a per-minute charge. The graph below shows what she would pay for her long distance phone service for the first 60 minutes. What does the y-intercept of this graph represent?
- Rich is a number of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y = 3x + 10
What does the y-intercept of the graph of this equation represent?
- Nan works as a commissioned sale rep. She makes a weekly base salary plus a commission for each sale she makes. The table below shows how much Nan can make. What is Nan’s weekly base salary? Nan’s Weekly Salary Sales Made
1 2 3 4 5
Salary $250^ $300^ $350^ $400^ $
- Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y = 0.5x + 10
What does the slope of the graph of this equation represent?
Write a linear equation in slope-intercept form to model each situation.
- You rent a bicycle for $20 plus $2 per hour.
- An auto repair shop charges $50 plus $25 per hour.
- A candle is 6 inches tall and burns at a rate of 2
inch per hour.
- The temperature is 15° and is expected to fall 2° each hour during the night.
Write the equation of the line in slope-intercept form.
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Graph the line that passes through the given point and has the given slope.
- (3, 1) m = 2 31. (-2, 5) m = 3
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- (4, -2) m = 0 33. (3, -2) m = undefined
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