Question

The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.

A two column table with five rows. The first column, Number of People, has the entries, 6, 9, 12, 15. The second column, Total Cost in dollars, has the entries, 52, 58, 64, 70.

Which statements about the function described by the table are true? Check all that apply.

The independent variable is the number of people.
The initial value (initial fee) for the picnic is $40.
The rate of change is $8.67 per person.
As the number of people increases, the total cost of the picnic increases.
If 4 people attended the picnic, the total cost would be $46.

Answer 1

True:
- The independent variable is the number of people.
- The initial value (initial fee) for the picnic is $40.
- As the number of people increases, the total cost of the picnic increases.

False:
- The rate of change is $8.67 per person. (Actual rate = (58−52)/(9−6) = 6/3 = $2 per person.)
- If 4 people attended the picnic, the total cost would be $46. (Cost = 2·4 + 40 = $48.)