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
Fofino [41]
3 years ago
7

In Niagara-on-the-Lake, you can ride a horse-drawn carriage for a fixed price plus a variable amount that depends on the length

of the trip. The variable cost is $10/km and a 2.5-km trip costs $40. a) Determine the equation relating cost, C, in dollars, and distance, d, in kilometres. b) Use your equation to find the cost of a 6.5-km ride. c) Graph this relation. d) Use the graph to find the cost of a 6.5-km ride.

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

Step-by-step explanation:

a) The cost of a product is given as:

Cost = a + bx

Where a is the fixed cost, b is the variable cost, x is the independent variable.

In this case, the independent variable is the distance(d), therefore:

Cost (C) = a + bd

C = a + bd

But the variable cost is $10/km, therefore:

C = a + 10d

A 2.5 km trip cost $40, therefore:

40 = a + 10(2.5)

40 = a + 25

a = 40 - 25 = 15

The fixed cost is $15. Therefore the equation for cost is:

C = 15 + 10d  

b) C = 15 + 10d  

For 6.5 km ride:

C = 15 + 10(6.5) = 15 + 65 = 80

It would cost $80 for a 6.5 km drive.

 

You might be interested in
Simply <br><br> 28 divided by 2 plus 3(8) minus (12-8)
snow_tiger [21]
U can easily put this through a calculator, but it’s 24 :)
6 0
2 years ago
Read 2 more answers
At the movie theatre, child admission is $5.10 and adult admission is $9.70. On Thursday, 128 tickets were sold for a total sale
kvv77 [185]

Answer:

53

Step-by-step explanation:

Let x be the number of children tickets sold and y be the number of adult tickets sold. Then

x+y=128.

The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so

5.10x+9.70y =896.60.

From the first equation,

x=128-y,

then

5.10(128-y)+9.70y=896.60,\\ \\652.80-5.10y+9.70y=896.60,\\ \\4.60y=243.8,\\ \\y=53.

53 adult tickets were sold.

6 0
3 years ago
What is the value of n in the equation shown <br> below? <br> 2²×2n=(2
pychu [463]

Answer:

<h3>n = 1/4</h3>

Step-by-step explanation:

2^2 \times 2n= (2)\\\\\mathrm{Simplify\:}2^2\times\:2n:\quad 8n\\\\\mathrm{Simplify\:}\left(2\right):\quad 2\\\\8n=2\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\\\frac{8n}{8}=\frac{2}{8}\\\\Simplify\\\\n=\frac{1}{4}

4 0
3 years ago
Given the diagram, which theorem would you use to find AD?
bagirrra123 [75]

Answer:

B

AD will be 20

<h2 /><h2><em><u>Please</u></em><em><u> </u></em><em><u>mark</u></em><em><u> </u></em><em><u>me</u></em><em><u> </u></em><em><u>brainlie</u></em><em><u>st</u></em></h2>
3 0
2 years ago
The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube?
jok3333 [9.3K]
Volume of a cube = 1/3 volume of cube = 1/3 * 36 = 12 cubic feet.

6 0
3 years ago
Other questions:
  • The number 900 has an interesting property in that the only primes that divide into it evenly are 2, 3, and 5. What are the next
    12·1 answer
  • Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?. A. f(x) − g(x) = log2 (2x − 6). B
    13·2 answers
  • What is the y-intercept of the line described by the equation below? Y=3x - 6
    14·1 answer
  • We have 8 yards of wraping paper. if we use 2 feet for each present how many present can we wrap
    14·2 answers
  • The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $
    6·1 answer
  • Distributive property : 16 ( 4 1/4 )
    6·2 answers
  • Which equation represents the line that passes through points (1, –5) and (3, –17)?
    12·2 answers
  • I need help what is the answer will mark brainliest please help
    15·1 answer
  • Which of the following is most likely the next step in the series?
    15·2 answers
  • Can any one help me on this? this is on my math test due at 11:59.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!