A snail travels 3 feet in one hour. In each subsequent hour, the snail travels three-fourths the distance it traveled in the previous hour. How far does the snail travel in 6 hours

Respuesta :

Answer:

Approximately .71 feet

Step-by-step explanation:

first hour: 3 feet

3 x .75 = 2.25 feet

second hour: 2.25 feet

2.25 x .75 = 1.68 feet

third hour: 1.68 feet

1.68 x .75 = 1.26 feet

fourth hour: 1.26 feet

1.26 x .75 = .945 feet

fifth hour: .945 feet

.945 x .75 = .70875 feet

sixth hour: approximately .71 feet

As per linear equation, the snail travels 9.878 feet in 6 hours.

What is a linear equation?

A linear equation is an equation that contains one or multiple variables with the highest power of the variable is 1.

Given, the snail travels in first hour = 3 feet.

After the 2nd hour, the snail travels = 3 × 3/4 feet= 2.25 feet

After the 3rd hour, the snail travels = 2.25 × 3/4 feet= 1.69 feet

After the 4th hour, the snail travels = 1.69 × 3/4 feet= 1.27 feet

After the 5th hour, the snail travels = 1.27 × 3/4 feet= 0.953 feet

After the 6th hour, the snail travels = 0.953 × 3/4 feet= 0.715 feet

Therefore, in 6 hours, the snail will travel

= (3 + 2.25 + 1.69 + 1.27 + 0.953 + 0.715) feet

= 9.878 feet

Learn more about linear equation here: https://brainly.com/question/9937248

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