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

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 class=

Respuesta :

Answer:

The relationship between weeks and the total amount is:

[tex]y=10x[/tex]

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

Where:

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

We need two points to find the slope.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Let's use any pair points from the plot.

[tex]m=\frac{60-40}{6-4}[/tex]

[tex]m=10[/tex]

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

[tex]y=10x[/tex]

I hope it helps you!