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
ale4655 [162]
1 year ago
13

In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of

the trip.
The per kilometre rate is $12/km. You decide to go on a 5 km trip, and it costs you $70.
a) What is the fixed rental cost? Show your work.
b) Determine the equation relating the cost, C, in dollars, and the distance, d, in km.
d) What is the cost of an 18 km trip?
e) What is the distance travelled if the total cost is $250?

PLEASEEEEEEEE
Mathematics
1 answer:
ella [17]1 year ago
6 0

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

You might be interested in
A restaurant uses 150 grams of ham on each sub sandwich that it sells. If the restaurant sells 50 sub sandwiches, how much ham w
Morgarella [4.7K]

If the restaurant uses 150 grams and then sells 50 sub sandwiches

The ham needed is 50 x 150 = 7500 gram = 7.5 kg

8 0
1 year ago
Factor 10x^3+8x^2-6x
Rus_ich [418]
The correct answer is 2x(5x^2+4x-3)
7 0
3 years ago
Find the area of the circle<br> Pls help quick
tigry1 [53]

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.

7 0
2 years ago
Can someone help? If b/a=c/b=d/c=2/3, find a:b:c:d.
blagie [28]

Answer: a:b:c:d = 16:24:30:40

You can also divide the ratio by 2 because all terms have 2 in common. Which would be  a:b:c:d = 8:12:15:20

8 0
2 years ago
Victor is measuring his bodily dimensions. his neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long.
Triss [41]

The length of his neck is longer than the length of his forearms by 44.86 %.

<h3>Calculations and Parameters:</h3>

Given:

Length of his neck = 14.72 inches

Length of his forearm = 25.81 cm

We know that:

1 inch = 2.54 cm

So, 14.72 inches = 14.72×2.54

=37.39 cm

So, the Length of his neck becomes 37.39 cm

So, the length of his neck is longer than the length of his forearms.

The difference between them is given by

37.39-25.81

=11.58 cm

so, the Percentage of change would be

11.58/25.81 * 100

=44.86%

Read more about percentages here:

brainly.com/question/7255460

#SPJ4

6 0
2 years ago
Read 2 more answers
Other questions:
  • Its actually f(x) = -(x - 4)^2 + 5
    13·1 answer
  • Jennifer will be driving to Las Vegas this weekend. From her home to the hotel she will be staying at is 1,345 miles away. If Je
    9·1 answer
  • Consider the list of operations below. Choose the one that polynomials are not closed under.
    9·1 answer
  • How do I solve this problem?
    8·1 answer
  • (a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 bu
    12·1 answer
  • Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school
    15·2 answers
  • laura alvarez purchased a new convertible for 27,382. She made a down payment of 30 percent and financed the remaining amount. W
    15·1 answer
  • The total surface area of rectangular solid is 130 cm.If the solid is 7 cm long and 5 cm wide,calculate the height.​
    9·1 answer
  • If<br> tan (0) = -√3<br> then one possible value of<br> 0<br> in degrees is:
    11·1 answer
  • According to the given information, segment uv is parallel to segment wz, while angles squ and vqt are vertical angles. angle vq
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!