Question

Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes. a. If Josiah's speed, in miles per minute, is constant, what is the constant of proportionality. *
b. How many minutes will it take Josiah to skateboard to his friend Sebastian's house, which is 3 miles from school, if he travels at the same rate that he did form his house to school?

Answer 1

Answer:  35 miles

Step-by-step explanation:

If 4 miles is 20 minutes that mean 1 mile is 5 minutes so just add 4+3 which is 7 then multiply that by 5 which is 35 so it takes him 35 minutes to go to his friends house

Answer 2

• The Josiah's speed, the constant of proportionality is 0.2 miles per minute.
• The time taken by Josiah on his skateboard to Sebastian's house is 15 minutes.

Given:

• Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes.
• Josiah's friend Sebastian's house is 3 miles from school.

To find:

• The constant of proportionality.
• The time taken by Josiah on his skateboard to Sebastian's house

a.

Distance from Josiah's house to school = 4 miles

Time taken by Josiah on a skateboard to cover 4 miles = 20 min

The speed of Josiah's skateboard = S

$Speed=\frac{Distance}{Time}\\\\S=\frac{4 miles}{20 min}\\\\S=0.2 miles/min$

The Josiah's speed, the constant of proportionality is 0.2 miles per minute.

b.

Distance From school to Sebastian's house = 3 miles

Time taken by Josiah on a skateboard to travel to Sebastian's house from school = t

The Josiah's speed, the constant of proportionality = 0.2 miles/min

$0.2 miles/min=\frac{3 miles}{t}\\\\t=\frac{3 miles}{0.2 miles/min}=15 min$

The time taken by Josiah on his skateboard to Sebastian's house is 15 minutes.

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