It takes you 50 minutes to get to campus. You spend t minute

agreseza

agreseza

Answered question

2021-12-20

It takes you 50 minutes to get to campus. You spend t minutes walking to the bus stop and the rest of the time riding the bus. Your walking rate is 0.06 mile per minute and the bus travels at a rate of 0.5 mile per minute. The total distance walking and traveling by bus is given by the algebraic expression 0.06t+0.5(50t).
a. Simplify the algebraic expression.
b. Use each form of the algebraic expression to determine the total distance that you travel if you spend 20 minutes walking to the bus stop.

Answer & Explanation

Janet Young

Janet Young

Beginner2021-12-21Added 32 answers

Step 1
Given:
It takes you 50 minutes to get to campus. You spend t minutes walking to the bus stop and the rest of the time riding the bus. Your walking rate is 0.06 mile per minute and the bus travels at a rate of 0.5 mile per minute. The total distance walking and traveling by bus is given by the algebraic expression
0.06t+0.5(50t)
Step 2
a) To simplify the given algebraic expression.
0.06t+0.5(50t)=0.06t+0.5(50)0.5t
0.06t+0.5(50t)=0.06t+250.5t
b) To determine the total distance that you travel if you spent 20 minutes walking to the bus stop.
Put t=20 in the given algebraic expression.
Let D=0.06t+0.5(50t)
0.06(20)+0.5(5020)
=12+0.5(30)
=12+15
=27
D=27 miles

Serita Dewitt

Serita Dewitt

Beginner2021-12-22Added 41 answers

Let D(t)=0.06t+0.5(50t)
Simplify the above equation as shown below:
D(t)=0.06t+0.5(50t)
D(t)=0.06t+250.5t
D(t)=250.44t (1)
Substitute t=20 in the equation (1) and obtain the total distance by spending 20 minutes walking to the bus stop as shown below:
D(t)=250.44(20)
=258.8
=16.2 minutes

nick1337

nick1337

Expert2021-12-28Added 777 answers

To simplify out the expression, we can distribute the multiplication over addition. (one of the properties)
0.06t+25-0.5t
=25-0.44t
We use the above equation and plug in 20 for t to find the total distance traveled.
250.4420=16.2

2022-05-27

Step 1

0.06t+0.5(50-t)

0.06t+25-0.5t

-0.44+25

Step 2 

 

0.06t+0.5(50-t)

0.06(20)-0.5(50-20)

1.2+25-10

16.2

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