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QuestionSave \100plus$20permonth.Defineafunctionfortotalsavingsafter100 plus \$20 per month. Define a function for total savings after m$ months. Identify variables: dependent and independent.

Studdy Solution

STEP 1

Assumptions1. The initial saved amount is \$100. The saving rate is \$20 per month3. We are asked to write a rule for the amount saved as a function of the number of months4. The dependent variable is the total amount saved5. The independent variable is the number of months

STEP 2

We can express the total amount saved as a function of the number of months. The initial saved amount plus the amount saved each month times the number of months gives the total amount saved.
Total saved=Initial saved amount+(Saving ratetimesNumber of months)Total\, saved = Initial\, saved\, amount + (Saving\, rate \\times Number\, of\, months)

STEP 3

Now, plug in the given values for the initial saved amount and saving rate to write the function.
Total saved=$100+($20timesNumber of months)Total\, saved = \$100 + (\$20 \\times Number\, of\, months)This is the rule for the amount saved as a function of the number of months from now.

STEP 4

The dependent variable is the total amount saved. This is because the total amount saved depends on the number of months.

STEP 5

The independent variable is the number of months. This is because the number of months does not depend on any other variable in this problem.
So, the rule for the amount saved as a function of the number of months from now is \$100 + \$20 * Number of months. The dependent variable is the total amount saved and the independent variable is the number of months.

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