he 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 of the function is 6.85. This means that when Mrs. Franklin does not bring any of her grandchildren (c = 0), the cost for the buffet is $6.85.
b. The slope of the function is 2.95. This means that for each additional grandchild brought to the buffet, the cost increases by $2.95.
c. To find the number of grandchildren Mrs. Franklin took to the buffet when she paid $18.65, we can substitute the cost (f(c)) into the function and solve for c:
18.65 = 6.85 + 2.95c
Subtracting 6.85 from both sides:
11.80 = 2.95c
Dividing both sides by 2.95:
c ≈ 4
Therefore, Mrs. Franklin took approximately 4 of her grandchildren to the buffet.