3. In a clean sheet of intermediate paper, answer this Direction: Name a positive or number integer to represent each situation. Write your answer in clean sheet of intermediate paper 1. Spending 10,000php 2. 4 feet below the ground 3. 50 steps uphill 4. 100 feet below sea level 5. Saving 50php 6. What is the sum of -13 + 137 7. Taking 5,000php from the bank 8. Gained 10% interest from bank deposit 9. What is the sum of -25 + 25 10. What is the opposite of -90?
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Example 1
Marcus reads for 30 minutes each night. He wants to determine the total number of minutes he will read over the course of a month. He wrote the equation t = 30d to represent the total amount of time that he has spent reading, where t represents the total number of minutes read and d represents the number of days that he read during the month.
Determine which variable is independent and which is dependent. Then create a table to show how many minutes he has read in the first seven days.
When setting up a table, we want the independent variable in the first column and the dependent variable in the second column.
What do independent and dependent mean?
In this example, which would be the independent variable and which would be the dependent variable?
How could you use the table of values to determine the equation if it had not been given?
Example 2
Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works. Determine the independent and dependent variables. Create a table to show the number of websites she can design over the first 5 weeks. Finally, write an equation to represent the number of websites she can design when given any number of weeks.
Example 3
Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie. Determine the independent and dependent variables, write an equation to model the situation, and create a table to show the total cost per month given that she might stream between 4 and 10 movies in a month.
Is the flat fee an independent variable, a dependent variable, or neither?
Why isn’t the equation c = 5m + 1.50?
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