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
a. The y-intercept is 6.85. It represents the cost for Mrs. Franklin to go to the buffet without taking any of her grandchildren.
b. The slope is 2.95. It represents the additional cost for each grandchild that Mrs. Franklin takes to the buffet.
c. To find the number of grandchildren, c, that Mrs. Franklin took to the buffet, we can set the equation equal to 18.65 and solve for c:
6.85 + 2.95c = 18.65
2.95c = 11.8
c = 11.8 / 2.95
c ≈ 4
Mrs. Franklin took approximately 4 of her grandchildren to the buffet.
Solve for y:
2y + 4x = 12