Question

Bijan has agreed to run a half-marathon to raise money for charity. Each day before school, Bijan runs a 2.4-mile route around his neighborhood. Then, each day after school, he runs on a lakeside trail. After 4 days, Bijan has run a total of 14.8 miles.

Answer 1

Answer:

This is the complete question: Bijan has agreed to run a half-marathon to raise money for charity. Each day before school, Bijan runs a 2.4-mile route around his neighborhood. Then, each day after school, he runs on a lakeside trail. After 4 days, Bijan has run a total of 14.8 miles. Suppose you want to find out the length of the lakeside trail, x. What expression would represent how far Bijan runs everyday? What is the equation that represents his total distance after 4 days?

Answer:

1. Expression for how far Bijan runs everyday = (2.4 + x) miles

2. Equation to represent his total distance after 4 days: 4(2.4 + x) = 14.8

Step-by-step explanation:

Given:

Ditance Bijan runs each day before school = 2.4 miles

Ditance Bijan runs each day after school = x miles

After 4 days, total distance ran = 14.8 miles

Question 1: Distance Bijan runs everyday = Distance he runs before school everyday + Distance he runs after school everyday

Distance Bijan runs everyday = (2.4 + x) miles

Question 2: Since he runs a total distance of (2.4 + x) miles everyday as shown above. In 4 days, he will run a total distance of

4(2.4 + x) miles. We were also told that the total distance ran is 14.8 miles.

Therefore, we can equate the two total distances

4(2.4 + x) = 14.8                          

We can then go further to determine the length of the lakeside trail, x.

First, divide both sides of the above equation by 4

$\frac{4(2.4 + x)}{4} = \frac{14.8}4} \\\\ 2.4 + x = 3.7$

Collect like terms and we have,

$x = 3.7 - 2.4 = 1.3\\ \\ x = 1.3 miles$

Therefore, the length of the lakeside trail, x, is 1.3 miles.

Answer 2

Answer:

1. (X + 2.4)

2. 4(x + 2.4) =14.8

Step-by-step explanation: