Which linear function has a greater unit rate, f left-parenthesis x right-parenthesis or g left-parenthesis x right-parenthesis?

Question

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.

Answer 1

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.

Answer 2

whats the answer?

Answer 3

The linear function f(x) = 2.5x + 3 has a greater unit rate compared to the linear function g(x) in this case.

Answer 4

thank you

Answer 5

You're welcome! If you have any more questions, feel free to ask.