Jordan starts a walk with 2{}500 steps already recorded on a fitness tracker. Jordan then … — ACT

Jordan starts a walk with $2{}500$ steps already recorded on a fitness tracker. Jordan then walks at a constant rate of $120$ steps per minute. If the fitness tracker shows a total of $7{}900$ steps at the end of the walk, for how many minutes did Jordan walk?

Answer: 45 minutes

Answer

Jordan walked for

45

minutes.

The correct answer is

45

. The scenario describes a linear relationship with a constant rate of

120

steps per minute and a starting baseline of

2{}500

steps. Let

m

represent the number of minutes Jordan walked. The equation is

2{}500 + 120m = 7{}900

. Subtracting

2{}500

from both sides gives

120m = 5{}400

, and dividing by

120

yields

m = 45

Step-by-Step Solution

Set up the algebraic equation based on the word problem details.

2{}500 + 120m = 7{}900

The total steps are the sum of the starting steps (

2{}500

) and the product of the rate (

120

steps/min) and time (

m

minutes).

Isolate the variable term by subtracting

2{}500

from both sides of the equation.

120m = 5{}400

Subtracting the initial steps gives the steps accumulated solely during the walk.

Solve for

m

by dividing both sides of the equation by

120

m = 45

Dividing the total steps walked by the rate per minute yields the duration of the walk in minutes.

Key Concept

Translating verbal descriptions of constant rates and starting values into linear equations

Alternative Method

Solve arithmetically by subtracting the baseline steps from the final count (

7{}900 - 2{}500 = 5{}400

steps) and dividing the remaining steps by the walking rate (

5{}400 \div 120 = 45

minutes).

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Alternative Method

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