5 Problems - SHOW ALL WORK!
1. 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?
2.
a. What is the y-intercept?
b. What is the slope
c. Write an equation for the line.
3. 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?
4. 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?
1.
a. The y-intercept is 1.90. It represents the base cost of a hamburger with no toppings.
b. The slope is 1.40. It represents the additional cost for each additional topping added to the hamburger.
c. To find the number of toppings on Jodi's hamburger, we set the cost equal to $3.30 and solve for t:
1.90 + 1.40t = 3.30
1.40t = 1.40
t = 1
Jodi's hamburger has 1 topping.
2.
a. The y-intercept is -2. It represents the starting value of the y-coordinate when x = 0.
b. The slope is -3. It represents the rate of change of the y-coordinate for a one unit increase in the x-coordinate.
c. The equation for the line is y = -3x - 2.
3.
a. The y-intercept is 5. It represents the cost to attend the fair when no rides are ridden.
b. The slope is 1.75. It represents the additional cost for each additional ride ridden at the fair.
c. To find the number of rides Al rode, we set the cost equal to $19.00 and solve for r:
5 + 1.75r = 19.00
1.75r = 14.00
r = 8
Al rode 8 rides.
4.
a. The y-intercept is 6.85. It represents the cost for Mrs. Franklin to go to the buffet with no grandchildren.
b. The slope is 2.95. It represents the additional cost for each additional grandchild taken to the buffet.
c. To find the number of grandchildren Mrs. Franklin took to the buffet, we set the cost equal to $18.65 and solve for c:
6.85 + 2.95c = 18.65
2.95c = 11.80
c = 4
Mrs. Franklin took 4 of her grandchildren to the buffet.