Mikal has a summer project in which he must complete at least 35 hours of community service at a city park. Each day that he goes to the park, he volunteers for 7 hours. It takes him 1.5, point, 5 hours to get to the park each way, which also counts toward his community service hours. What inequalities can be used to find the number of days, d, Mikal must volunteer at the park to complete his summer project?

Question

12-01-2021
Mathematics

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Mikal has a summer project in which he must complete at least 35 hours of community service at a city park. Each day that he goes to the park, he volunteers for 7 hours. It takes him 1.5, point, 5 hours to get to the park each way, which also counts toward his community service hours. What inequalities can be used to find the number of days, d, Mikal must volunteer at the park to complete his summer project?

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antiochus antiochus · Answer 1 · 2021-01-15T02:49:55+01:00

Answer:

[tex]10d\geq 35[/tex].

Step-by-step explanation:

Time for which Mikal volunteers each day [tex]=7[/tex] hours.

Time spent on traveling each day [tex]=1.5+1.5=3[/tex] hours.

Since the time spent on traveling also counts toward his community service hours.

So, total hours completed for the project each day [tex]=7+3=10[/tex] hours.

Let [tex]d[/tex] be the number of days, Mikal must volunteer at the park to complete his summer project.

Mikal must complete at least [tex]35[/tex] hours of community service at a city park for the project.

So, [tex]10d\geq 35[/tex] be the inequality that can be used to find the number of days Mikal must volunteer at the park to complete his summer project.