It takes a person 50 minutes to get to campus. He spends t m

deiteresfp

deiteresfp

Answered question

2021-12-26

It takes a person 50 minutes to get to campus. He spends t minutes walking to the bus stop and the rest of the time riding the bus. His walking rate is 0.06 miles per minute and the bus travels at a rate of 0.5 miles per minute. The total distance walking and traveling by bus is given by the algebraic expression 0.06t+0.5(501).
(a) Simplify the algebraic expression (b) Use each form of the algebraic expression to determine the total distance that the person travels if the person spends 20 minutes walking to the bus stop.
(a) The simplified expression is. (Do not factor.) (b) Using the given expression, it is found that the total distance that the person travels is miles if he spends 20 minutes walking to the bus stop. Using the simplified expression, it is found that the total distance that the person travels is miles if the person spends 20 minutes walking to the bus stop.

Answer & Explanation

John Koga

John Koga

Beginner2021-12-27Added 33 answers

Total time=50 minutes
Walking time=t
Riding time=50t
Walking rate=0.06 milesminute
Bus speed=0.5 milesminute
Part a) Simplifying the Algebraic Expression.
0.06t+0.5(50t)
=0.06t+250.5t
=250.44t
Part b) if the Person spends 20 minutes walking to the bus stop.
Total distance travelled by him.
=250.44t
=250.44×20
=258.8
=16.2 miles

otoplilp1

otoplilp1

Beginner2021-12-28Added 41 answers

Answer:
a) d(t)=250.44t
b) d(t)=16.2 mles
Step-by-step explanation:
Question incomplete.
From google, I found two question
a) Simplify 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:
a) d(t)=0,06t+0.5(50t)
d(t)=0,06t+250,5t
d(t)=250.44t
b) d(t)=250.44t
for t=20 min
d(t)=250.44(20)
d(t)=258.8
d(t)=16.2 miles

user_27qwe

user_27qwe

Skilled2022-01-05Added 375 answers

Answer: a) S(t)=30-0.44t b) The person travels 21 miles Step-by-step explanation: (a) Simplify the algebraic expression: About the algebraic expression, the problem states that: The total distance walking and traveling by bus is given by the algebraic expression 0.06 t plus 0.5 left parenthesis 60 minus t right parenthesis. Mathematically, this is: S(t)=0.06t+0.5 * (60-t) Simplifying, we have: S(t)=0.06t+30-0.5t S(t)=30-0.44t b) Use each form of the algebraic expression to determine the total distance that the person travels if the person spends 20 minutes walking to the bus stop. t is the time that the person spends walking to the bus stop, so Pt=2. By the original expression S(t)=0.06t+0.5 * (60-t) S(20)=0.0620+0.5 * (60-20)=1.2=20=21.2 By the simplified expression S(t)=30-0.44t S(20)=30-0.44 * (20)=30-8.8=21.2 By each form of the expression, we find that the person traveled 21.2 miles

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