Question

Aurora wants to make a donation to a charity at the end of the year she starts by saving a small amount of money each week as shown in the graph

Answer 1

The relationship between weeks and the total amount is:

`y=10x`

Explanation:

We have here a linear relationship between weeks and the total amount. The equation of a line is:

`y=mx+b`

Where:

• m is the slope
• b is the y-intercept

We need two points to find the slope.

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Let's use any pair points from the plot.

`m=(60-40)/(6-4)`

`m=10`

And we also see that the y-intercept is 0, therefore the equation will be:

`y=10x`

I hope it helps you!