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Chapter 3: Q44. (page 204)

Write an equation in function notation for this relation.

Short Answer

Expert verified

The equation in function notation for this relation isy=3x.

Step by step solution

01

Step 1. Find the points from the graph and make the table and find the difference between the values of x and y.

The observed points from the graph are 鈭�2,鈭�6,鈭�1,鈭�3,0,0,1,3,2,6and 3,9.

Make the table by using the observed points from the graph.

x-2-1
0123
y-6
-3
0369

Calculate the difference between and.

From the above table it can be noticed that the difference between x is 1 and the difference between the y is 3.

This implies the value of constant of variation (k) is given by:

k=31=3

02

Step 2. Find the equation in function notation for this relation.

As, the value of k is 3. Therefore, the equation in function notation for this relation is given by:

y=kxy=3x

Therefore, the equation in function notation for this relation is y=3x.

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Most popular questions from this chapter

Write an equation for the nth term of each arithmetic sequence.

28,25,22,19,...

Solve each equation for y.

3x+4y=10

Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Suppose you earn $127 for working 20 hours.

a. Write a direct variation equation relating your earning to the number of hours worked.

b. How much would you earn for working 35 hours?

A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute.

a. Make a table that shows the height of the hot air balloon after climbing for 1, 2, 3, and 4 minutes.

b. Let t represent the time in minutes since the balloon began climbing. Write an algebraic equation for a sequence that can be used to find the height h, of the balloon after tminutes.

c. Use your equation from part b to find the height, in feet, of the hot air balloon after climbing for 8 minutes.

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

y=鈭�4x+3
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