Question

3. The relationship between the cost of a corsage and the number of flowers in the corsage is shown

below.
Number of Cost of
Flowers, 1 Corsage, c
2.
$7.00
3
$10.50
4
$14.00
5
$17.50
Which statement is true about the information in the table?
A The information in the table has a constant rate of change of 3.5.
B The information in the table has a constant rate of change of 2
C The information in the table has a constant rate of change of 7
D The information in the table does not have a constant rate of change

Answer 1

A The information in the table has a constant rate of change of 3.5.

Explanation:

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

Let y represent the cost of a corsage and x represent the number of flowers in the corsage

The table (x, y) has the points (2, 7) and (3, 10.5). The equation is given by:

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)\\\\y-7=(10.5-7)/(3-2)(x-2)\\\\y-7=3.5(x-2)\\\\y-7=3.5x-7\\\\y=3.5x`

Therefore the rate of change is 3.5