Question
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Model with Mathematics Jasmine is training for a race. Her goal is to cover 28 miles this week. So far this week, she has gone the distances shown. Write and solve an equation to find the number of miles \( m \) Jasmine has left to meet her goal.

Ask by Wheeler Cox. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The number of miles Jasmine has left to meet her goal is \( 28 - d \), where \( d \) is the distance she has already covered.

Solution

Let's denote the number of miles Jasmine has left to meet her goal as \( m \). Since Jasmine's goal is to cover 28 miles this week, the total distance she has covered so far plus the distance she has left should equal 28 miles. We can write this as an equation: \[ m + \text{distance covered so far} = 28 \] Given that Jasmine has gone the distances shown, let's denote the distance covered so far as \( d \). Therefore, the equation becomes: \[ m + d = 28 \] To find the number of miles Jasmine has left to meet her goal, we need to solve this equation for \( m \). Let's solve the equation for \( m \). Solve the equation by following steps: - step0: Solve for \(m\): \(m+d=28\) - step1: Move the expression to the right side: \(m=28-d\) The solution to the equation is \( m = 28 - d \), where \( m \) is the number of miles Jasmine has left to meet her goal and \( d \) is the distance covered so far. Therefore, the number of miles Jasmine has left to meet her goal is \( 28 - d \).

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The Deep Dive

Since Jasmine's goal is to cover 28 miles and she has already run a certain distance, we can express her total distance as follows: \( m = 28 - d \), where \( d \) is the total distance she has already run. If we say she has run distances of 5 miles, 8 miles, and 7 miles, we can calculate the total: \( d = 5 + 8 + 7 = 20 \). Now, substituting this total into our equation gives us: \( m = 28 - 20 \) So \( m = 8 \). Jasmine has 8 miles left to meet her goal! But wait, did you know that runners often track their progress using apps? Many tools can help her visualize her remaining distance and motivate her to keep pushing towards her goal. Embracing technology can make training more engaging and effective! Additionally, a common mistake Jasmine might encounter is forgetting to log her runs right away. It’s easy to lose track of daily distances, causing her to underestimate how much she has accomplished. Keeping a simple notebook or a running app can help her avoid this pitfall and stay on track towards that 28-mile goal!

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