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Answer :
Final answer:
Sally's dog's weight increased from 145 pounds in 2006 to 175 pounds in 2018, resulting in a rate of change of 2.5 pounds per year over 12 years.
Explanation:
The question asks about the rate of change in weight for Sally's dog from 2006 to 2018. To find the rate of weight change, we need to use the formula for the rate of change, which is the weight change divided by the change in time. Sally's dog weighed 145 pounds in 2006 and 175 pounds in 2018.
To calculate the weight change: 175 pounds - 145 pounds = 30 pounds.
The change in time is from 2006 to 2018, which is 2018 - 2006 = 12 years.
So, the rate of change in weight per year is 30 pounds ÷ 12 years = 2.5 pounds per year.
Therefore, the rate of weight change is 2.5 pounds per year.
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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 :)
