Select the correct answer.
Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at
least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?

Question

10-11-2020
Mathematics

contestada

Select the correct answer.
Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at
least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?

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petersonaj665 petersonaj665 · Answer 1 · 2020-12-17T23:44:37+01:00

petersonaj665 petersonaj665

17-12-2020

Answer:

here's the pictures to the question, just comment the answer don't mind the c bubble being filled.

Step-by-step explanation:

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-02-02T10:47:11+01:00

A system of inequality is the system in which the set of more than two in inequalities in one or more variables.

The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.

What is system of inequality?

A system of inequality is the system in which the set of more than two in inequalities in one or more variables.

Given information-

Total distance they want to travel is equal to or more than 40 miles.

Total hours spend by the Lucian and Blake is not more than the 6 hours.

On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.

Suppose they walk [tex]x[/tex] hours and bike [tex]y[/tex] hours.

As total distance they want to travel is equal to or more than 40 miles and they walk at a rate of 3 miles/hour and bike at the rate of 12 miles/hours.. Thus,

[tex]3x+12y\geq 40[/tex]

Total hours spend by the Lucian and Blake is not more than the 6 hours. Thus,

[tex]x+y\leq 6[/tex]

The graph plotted using the inequality equation obtained is attached below.

Hence, The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.

Learn more about the system of inequality here;

https://brainly.com/question/9774970