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nasty-shy [4]
4 years ago
12

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles trave

led. Is the rate of change 2.25?

Mathematics
2 answers:
Alexxx [7]4 years ago
8 0
Check the attached image showing the table associated with the question
<u><em>Answer:</em></u>
Yes, because the amount owed changes by 2.25 every time the miles change by 1

<u><em>Explanation:</em></u>
The rate of change can be referred to as the slope of the function.
The slope can be calculated using the following formula:
slope = \frac{ y_{2} - y_{1} }{ x_{2}- x_{1} }

<u>We will get the slope between each two successive points:</u>
<u>between 1 and 2:</u>
slope = \frac{4.75-2.5}{2-1} = 2.25

<u>between 2 and 3:</u>
slope = \frac{7-4.75}{3-2} = 2.25

<u>between 3 and 4:</u>
slope = \frac{9.25-7}{4-3} = 2.25

<u>between 4 and 5:</u>
slope = \frac{11.5-9.25}{5-4} = 2.25

We can note that as the miles increase by 1, the amount charged increase by 2.25.
This means that the rate of change is 2.25

Hope this helps :)

tensa zangetsu [6.8K]4 years ago
5 0

Answer:    Yes because the amount owed changes by 2.25 every time the miles change by one

step-by-step explanation:

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