1 3.8.2 - Test: Functions, Equations, and Graphs Unit lest Part 2
Algebra 2 A (CL), 7 20/3. Functions, Equations, and Graphs / 3 8. Functions, Equations, and Graphs Unit Test
1. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
х
у
7
11
8
13
9
15
17
10
1. Determine whether y varies directly with X. If so, complete steps 2 and 3 below. If not, explain why not.
2. Find the constant of variation, k
3. Write the equation
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y do not vary directly with x

Step-by-step explanation:

Given

x ----- y

7------11

8------13

9------15

10----17

Required

Determine if y varies directly with x

To do this, we make use of the following equation

Where

k = constant of variation

Make k the subject

When

When

Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.

In the above calculations, we have:

and

Because of the difference in the values of k, we can conclude that y do not vary directly with x.

Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)

the answer is 5636.7