Question

Hannah charges an hourly babysitting fee of $6 for two children, $7 for three children, and $8 for four or five children.

Which is true about the table when c = the number of children and f = the fee per hour?



c 1 2 3 4 5
f 6 6 7 8 8




The relationship is not linear between c and f.

The relationship is linear between c and f.

The relationship is not linear for c and linear for f.

The relationship is linear for c but not f.

Answer 1

The given table is
c 1 2 3 4 5
f 6 6 7 8 8

c = the number of children
f = the fee per hour

The given information is
f = $6 when c = 2;
f = $7 when c = 3;
f = $8 when c = 4 or c = 5.

A graph of the data is shown below.
Notice that the fee for 1 child was not provided, but it was provided in the table.

Let us examine the given answers.
(a) The relationship is not linear between c and f.
TRUE
(b) The relationship is linear between c and f.
FALSE
(c) The relationship is not linear for and linear for f.
FALSE
(d) The relationship is linear for c but not f.
FALSE

Answer: The relationship is not linear between c and f.