Question

Create a table of values from the graph. Then find the value of y when x=20. Use pencil and paper. Find three more pairs of values. Then write a situation you could model using this graph

Complete the table
x 2 _ _ 6
y _ 3.5 4.25 _

Answer 1

x 2 4 6 20
y _ 3.5 4.25 _

To find the value of y when x = 20, we need to gather more data from the graph:

x 2 4 6 20
y _ 3.5 4.25 _

Looking at the pattern, the y-values are increasing by a constant amount each time.

Let's fill in the missing values:

x 2 4 6 20
y 3.5 4.25 5 8.75

Now, let's find three more pairs of values:

x 2 4 6 20
y 3.5 4.25 5 8.75
y 2.75 3 3.5 4.5
y 9 9.5 10 14

A situation that could be modeled using this graph is the following:

An ice cream shop charges a base price for each scoop of ice cream ($2 for the first scoop), and an additional $0.75 for each extra scoop. The x-values represent the number of scoops of ice cream, and the y-values represent the cost in dollars. The graph shows the cost of different numbers of scoops of ice cream. The x-value of 20 represents a situation where a customer purchases 20 scoops of ice cream, and the corresponding y-value of 8.75 represents the cost in dollars for those 20 scoops.