1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vera_Pavlovna [14]
2 years ago
5

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add

itional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Mathematics
1 answer:
Delicious77 [7]2 years ago
7 0

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

Initial\ Fee = \$57

Additional = \$0.08 per mile

Plan 2:

Initial\ Fee = \$50

Additional = \$0.10 per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

y = 57 + 0.08 * x

Plan 2:

y = 50 + 0.10 * x

To solve (a), we equate both plans together; i.e.

y = y

57 + 0.08x = 50 + 0.10x

Collect Like Terms

0.08x - 0.10x= 50 - 57

-0.02x= -2

Solve for x

x = -2/-0.02

x = 100

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

y = 57 + 0.08 * x

y = 57 + 0.08 * 100

y = 57 + 8

y = 65

<em>Hence, the amount is $65</em>

You might be interested in
cycle charges an initial price of $15 plus $0.75 per hour for bike rentals which is represented by the expression 15+0.75h
Nady [450]
Is that what you are looking for?

8 0
2 years ago
How to do table for given function rule​
Rus_ich [418]

Just put your x to equation and you get y.

Ex.

y = -3(-4)+4

y = 12 + 4 = 16

7 0
2 years ago
Read 2 more answers
A new car worth $20,000 loses 20% of its value every year. Is the value of the car represented by a linear or exponential functi
Kryger [21]
B) Exponential. Because it keeps losing 20% of what the previous years amount was so it decreases by a smaller factor each year

3 0
3 years ago
Read 2 more answers
A wild horse runs at a rate of 8 miles for 6 hours. Let f(x) be the distance in miles, the horse travels for a given amount of t
Bond [772]

Answer:

SORRRY

Step-by-step explanation:

4 0
2 years ago
A baseball team wins 45% of its games. what fraction of games does it win
Rus_ich [418]
Ok.45%=45/100.then you just need to simplfy it.so 45÷5/100÷5 =9/20.the answer is c.hope this help.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me with this word problem.
    8·1 answer
  • If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 9, what is the SST for the data set?
    8·2 answers
  • True or False? 3+51x=59.1 If x is 1.1
    13·2 answers
  • 43 is a number between
    11·2 answers
  • -3x - 7 y equals 3x minus 2y equals -44
    10·1 answer
  • A vertical pole is supported by a wire that is 26 feet long. If the wire is attached to the ground 24 feet away from the base of
    13·1 answer
  • What is the percent decrease from $16 to $4?
    9·1 answer
  • In a school of 1200 pupils 45% are boys how many boys are there in the school
    9·2 answers
  • Solve for q.<br><br> –15 − 18q = –20q + 15<br><br> q =
    8·2 answers
  • Can y’all help with this question plz
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!