Question

y = 2.95c + 6.85 shows the cost for Mrs. Franklin to go to a buffet with c of her grandchildren. 1. What is the y-intercept and what does it mean? 2. What is the slope and what does it mean? 3. If Mrs. Franklin paid $18.65 for the buffet, how many of her grandchildren did she take with her?

Answer 1

Using the form y = m x + b where b is the y-intercept and m the slop

1. 6.85 is the y-intercept- when c = 0 the value of y will be 6.85

2. the slope here is m = 2.95 that means for every increase of 1 on the x-axis which is c the value of y increases by 2.95 (additional cost of each child)

3. If no children were to go the cost would be 6.85 (c = zero)

So she paid 18.65 - 6.85 = 11.8 for the children that went

11.8 / 2.95 = 4 so 4 of her grandchildren attended