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A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, and m represent the number of miles driven. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost for riding 3 to 10 miles.

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Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

  • What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

  • What is the dependent variable?

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

  • Write an equation representing this relationship:

t = $6 + ($1.50 x m)

  • Complete the table to show the total cost for riding 3 to 10 miles:

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

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