Question
Which linear function has a greater unit rate, f left-parenthesis x right-parenthesis or g left-parenthesis x right-parenthesis?
f left-parenthesis x right-parenthesis equals 2.5x plus 3
x negative 2 negative 1 0 1 2
g left-parenthesis x right-parenthesis
1.5 3.75 6 8.25 10.5
f left-parenthesis x right-parenthesis
g left-parenthesis x right-parenthesis
The unit rates are the same.
There is not enough information given to compare the unit rates.
f left-parenthesis x right-parenthesis equals 2.5x plus 3
x negative 2 negative 1 0 1 2
g left-parenthesis x right-parenthesis
1.5 3.75 6 8.25 10.5
f left-parenthesis x right-parenthesis
g left-parenthesis x right-parenthesis
The unit rates are the same.
There is not enough information given to compare the unit rates.
Answers
GPT 3.5
In this case, we can determine the unit rate by looking at the coefficient of x in each linear function.
For the function f(x) = 2.5x + 3, the coefficient of x is 2.5.
For the function g(x), the unit rate can be determined by looking at how the output (y-value) changes for a change in the input (x-value) of 1. From the table, we can see that when x changes from 0 to 1, the output changes from 6 to 8.25. This means the unit rate for g(x) is (8.25 - 6) / 1 = 2.25.
Since the unit rate for f(x) is 2.5 and the unit rate for g(x) is 2.25, the linear function f(x) has a greater unit rate.
For the function f(x) = 2.5x + 3, the coefficient of x is 2.5.
For the function g(x), the unit rate can be determined by looking at how the output (y-value) changes for a change in the input (x-value) of 1. From the table, we can see that when x changes from 0 to 1, the output changes from 6 to 8.25. This means the unit rate for g(x) is (8.25 - 6) / 1 = 2.25.
Since the unit rate for f(x) is 2.5 and the unit rate for g(x) is 2.25, the linear function f(x) has a greater unit rate.
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whats the answer?
GPT 3.5
The linear function f(x) = 2.5x + 3 has a greater unit rate compared to the linear function g(x) in this case.
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thank you
GPT 3.5
You're welcome! If you have any more questions, feel free to ask.