Question

When a school fundraiser begins, there is 11 people present. Each minute, 3 more people arrive. Use this information to complete the table. X represents the number of minutes since the fundraiser began and y represents the number of people present

Answer 1

Given that:

- There there are 11 people present when the school fundraiser begins.

- You know that 3 more people arrive each minute.

- The variable "x" represents the number of minutes since the fundraiser began.

- The variable "y" represents the number of people present.

You need to remember the Slope-Intercept Form of the equation of a line:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, by analyzing the data, you can determine that:

`\begin{gathered} m=3 \\ b=11 \end{gathered}`

Then, the equation that represents this situation is:

`y=3x+11`

Hence, you need to substitute each x-value given in the table into the equation and then evaluate, in order to find the corresponding y-value:

1. For:

`x=0`

You get:

`y=3(0)+11=11`

2. For:

`x=1`

You get that:

`y=3(1)+11=3+11=14`

3. For:

`x=2`

You get:

`y=3(2)+11=6+11=17`

3. For:

`x=3`

You get this y-value:

`y=3(3)+11=9+11=20`

4. For:

`x=4`

You get:

`y=3(4)+11=12+11=23`

5. For:

`x=5`

You get:

`y=3(5)+11=15+11=26`

Hence, the answer is: