WRITE THE RELATION EQUATION FROM THE GIVEN TABLE WORKSHEET

For each of the following tables, write a formula connecting the variables. 

Check your formula for all the number pairs given :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

The graph represents the cost c (in dollars) of buying n tickets to a baseball game.

a. Should the points be connected with a line to show all the solutions? Explain your reasoning.

b. Write an equation in two variables that represents the graph.

Solution

You earn $8 per hour working part-time at a store. a. Complete the table.

Use the values from the table to complete the graph. Then answer each question below.

a)  What does the horizontal axis represent? What variable did you use to identify it?

b)  What does the vertical axis represent? What variable did you use to identify it?

c)  How are the ordered pairs in the graph related to the values in the table?

d)  How are the horizontal and vertical distances shown on the graph related to the values in the table?

e)  How can you write an equation that shows how the two variables are related?

f) What does the green line in the graph represent?

Solution

Problem 1 :

The table shows the temperature of a fish tank during an experiment. Write the appropriate linear equation to find the temperature at any time.

Solution

Problem 2 :

Elizabeth’s cell phone plan lets her choose how many minutes are included each month. The table shows the plan’s monthly cost y for a given number of included minutes x. Write an equation in slope-intercept form to represent the situation.

Solution

Problem 3 :

A salesperson receives a weekly salary plus a commission for each computer sold. The table shows the total pay, y, and the number of computers sold, x. Write an equation in slope-intercept form to represent this situation.

Solution

For the following input numbers, calculate output numbers under the given rules :

Question 1 :

Four times the input number.

Solution

Question 2 :

The input number plus three.

Solution

Question 3 :

Add two then multiply by 3

Solution

Question 4 :

Multiply the input number by itself.

Solution

Question 5 :

Double the input number then add one.

Solution

Question 6 :

Subtract 3 then multiply by 2.

Solution

Question 7 :

Mark is throwing a birthday party this weekend. He is counting the number of drinks he has to make sure there is enough. Each case of soda has 12 cans in it. Mark counts 2 cases of cola, 3 cases of water, 5 cases of lemon water, and 10 cases of club soda. Fill in the table below and identify the rule.

Solution

Question 8 :

Silvie is taking inventory of the number of socks each person in her family has. Her mom has 10 pairs of socks. Her dad has 15 pairs of socks. Her sister, Evie, has 18 pairs of socks. Silvie has 12 pairs of socks. How many individual socks does each person in Silvie’s family have? Fill in the table below and identify the rule.

Solution

Question 9 :

This table shows the input and output from a machine with 2 operations.

a) Write the numbers and the operations in the machine.

b)Write the next 3 input and output numbers.

c) Predict the output when the input is 100.

Solution

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.