Answer:
Equation:
Step-by-step explanation:
The equation that represents a direct variation between variable x and variable y is given as . Where, k is the constant of proportionality.
Find the value of k given that x = ⅓ and y = 12.
Plug the values into the equation.
Multiply both sides by 3
Substitute the value of k into
Equation:
Answer:
Checkout the image below the explanation.
Step-by-step explanation:
1. First, let's solve the inequality.
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 2 from both sides.
Step 3: Divide both sides by -6 and flip the sign.
2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:
The average rate of change = 1.59 ≈ 2
The average rate of change can be calculated by
1) The first one = = 1.5
2 ) the second can also be solved by ; 8 + 2/ 2 = 5
3 ) the third one will be 20 + 6 / 2 = 13
4) 8.5
5) 12.5
To calculate the average rate of change
we will first add all the distance
Adding all the distance we will get the sum = 3 + 8 + 20 + 10 + 10 = 51
The total time = 2 + 6 + 9 +15 = 32
Thus the average rate of change = 51 / 32 = 1.59
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