Ascientist measures the water temperature in the gulf at gulfport on the fifteenth of each month. her data is shown in the table. what is the average rate of change between march 15 and june 15?
a. 2.6°f per month
b. 3.9°f per month
c. 5.2°f per month
d. 7.8°f per month
explain!

Step-by-step explanation:

The average rate of change refers to the relation between these variables.

Specifically, this problem can be modeled by a linear function, where the slope is the average rate of change.

So, such rate can be defined as

Where is the first pair and is the second one.

In this case, the first pair is and the second pair is . Replacing these coordinates, we have

Which is expressed in Fahrenheit.

Therefore, the average rate of change is 5.2 °F.

This can be interpreted as "The temperature changes +5.2 °F each month between March 15 and June 15".

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

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step-by-step explanation: