34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
1 answer:
The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.
x = 3.5 represents 3.5 hours after noon.
<h3>How to Find Average Rate of Change Over an Interval</h3>Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:
Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.
a = 0.5
f(a) = 47 (from the table, when x = 0.5, y = 47)
b = 3.5
f(b) = 62 (from the table, when x = 3.5, y = 62)
Plug the values into
Average rate of change =
Average rate of change = 5
x = 3.5 represents 3.5 hours after noon.
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Answer:
Step 1: Distribute to
and
Step 2: Subtract from both sides of the equation
Step 3: Add to both sides of the equation
Step 4: Divide both sides of the equation by
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute to
and
Then:
Step 2: You must apply the Subtraction property of Equality and subtract from both sides of the equation. Then:
Step 3: You must apply the Addition property of Equality and add to both sides of the equation. Then:
Step 4: You must apply the Division property of Equality and divide both sides by . Then:
