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Sally's huge dog weighed 145 pounds in 2006 and then weighed 175 pounds in 2018. What was the rate of change in weight? *
3.5 pounds per year
5 pounds per year
7.5 pounds per year
2.5 pounds per year

Respuesta :

Answer:

2.5 pounds per year

Step-by-step explanation:

In this situation, we're looking at a linear change and a graph, and as such we'll just need to find the slope as in a linear graph that tells us how much the change is between two points and will be our rate here.

1 - Get your variables laid out

Because we're looking for a per year rate, its weight/year and thus because we need to find the change in y over the change in x then:

x = Years

y = Weight

2 - Find the slope

[tex]Slope = m = \frac{rise}{run} = \frac{change~in~y}{change~in~x} = \frac{y_2-y_1}{x_2-x_1} = \frac{175-145}{2018-2006} = \frac{30}{12}[/tex]

3 - Find the rate of change

Sallys dog gained 30 pounds over 12 years. The rate of change is pounds/year which is 30/12

30/12 = 2.5 pounds per year

Hope this helps :)