Question

- Monica goes for a 60 minute bike ride each day in the summer. Let a rep

number of days Monica rides her bike, and m represent the total number of minutes she
spends riding her bike. Determine the dependent and independent variables, write an
equation to represent this relationship, and then complete the table to show how many
minutes Monica would ride her bike over the course of 1 week.

Answer 1

m = 60a

a = Independent Variable

m = Dependent Variable.

For a = 1 day, m = 60 minutes

For a = 2 days, m = 120 minutes

For a = 3 days, m = 180 minutes

For a = 4 days, m = 240 minutes

For a = 5 days, m = 300 minutes

For a = 6 days, m = 360 minutes

For a = 7 days, m = 420 minutes

Explanation:

Monica goes for a 60-minute bike ride each day in the summer.

If a represents the number of days Monica rides her bike and m represents the total number of minutes she spends riding her bike, then a represents the independent variable and m represents the dependent variable.

The relation between a and m can be written as an equation, m = 60a.

Now, for a = 1 day, m = 60 minutes

For a = 2 days, m = 60 × 2 = 120 minutes

For a = 3 days, m = 60 × 3 = 180 minutes

For a = 4 days, m = 60 × 4 = 240 minutes

For a = 5 days, m = 60 × 5 = 300 minutes

For a = 6 days, m = 60 × 6 = 360 minutes

For a = 7 days, m = 60 × 7 = 420 minutes

Therefore, this is the table to show how many minutes Monica would ride her bike over the course of 1 week. (Answer)