Question

A sauce recipe calls for 11 cups of sunburst tomatoes for every 3 cups of cherry tomatoes. Complete the table to show how many cups of cherry tomatoes are needed to mix with 55 cups of sunburst tomatoes. Then, graph the pairs of values. Cups of

Answer 1

We know that for every 3 cups of cherry tomatoes, the recipe calls for 11 cups of sunburst tomatoes.

To determine how many cups of cherry tomatoes are needed for the given measures of sunburst tomatoes, the first step is to determine the unit rate of the relationship (or constant of proportionality)

The unit rate can be determined as follows:

`k=(y)/(x)`

For this exercise

y → cups of cherry tomatoes

x → cups of sunburst tomatoes

`k=(3)/(11)`

This means that for every cup of sunburn tomatoes you need 3/11 cups of cherry tomatoes.

To complete the table you have to multiply each given amount of sunburst tomatoes by the unit rate:

22 cups sunburst tomatoes:

`22\cdot k=22\cdot(3)/(11)=6`

33 cups sunburst tomatoes:

`33\cdot k=33\cdot(3)/(11)=9`

44 cups sunburst tomatoes:

`44\cdot k=44\cdot(3)/(11)=12`

55 cups sunburst tomatoes:

`55\cdot k=55\cdot(3)/(11)=15`

You can complete the table as follows:

The graph below shows the points on the coordinate system