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
marusya05 [52]
3 years ago
6

The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p

roportional relationship? Did she drive at a constant speed? Complete the explanation.
Time (h) 1 2 3 4 5
Distance (mi) 55 100 165 280 250
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

You might be interested in
The Rogers Park cafeteria sells veggie pizza and cheese pizza. Today they sold 25 pizzas at lunch. They sold seven more cheese p
MA_775_DIABLO [31]
Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2

Sub 2 into 1
a + a+7 = 25
2a+7=25
2a=18
a=9

Sub a=9 into 2
9+7=b
b=16

They sold 9 veggie pizza and 16 cheese pizza
8 0
3 years ago
Please help ?????????
Murrr4er [49]

Answer:

B is your answer to this problem

Step-by-step explanation:

4 0
3 years ago
V=D/T Solve for T. In two Steps and an Answer.
elena-14-01-66 [18.8K]

Answer:

t=v/d

Step-by-step explanation:

id think that there are two steps

v=d/t

divide D on both sides

v/d=d/t/d

v/d=t

7 0
3 years ago
Read 2 more answers
Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)
S_A_V [24]

Answer:

The triangle A B C will be the image of triangle of A B C in origin (0,0)

8 0
2 years ago
Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 9 terms and select the correct answer below.
ZanzabumX [31]
The correct answer to the question presented above would be letter A. -976, 563. I got this through solving with the first number of the set, then getting the ratio of the data set (which is -5) and the number of terms in the set. Thus, I arrived with the answer, -976, 563.
3 0
2 years ago
Other questions:
  • The__of an angle is the ratio of the opposite leg length to the hypotenuse length
    13·2 answers
  • What is the point slope equation of a line with slope -3 that contains the point (-8, -4)?
    5·1 answer
  • Solve -3(-8b+7)=3(2b-1)
    14·2 answers
  • Out of 40 sandwiches, 19 are turkey, 9 are bologna, and the rest are tuna fish. If one sandwich is randomly picked, what is the
    7·1 answer
  • Which expression is equivalent to (5x^7+7x^8) − (4x^4−2x^8)?
    5·1 answer
  • Find the difference: 5.68 -<br> - 2.15 - (-1.34) = *
    5·2 answers
  • 8. What is the greatest common factor<br> of 42 and 70?
    8·2 answers
  • 7) There are 90 boys and 60 girls in the Cobb 6th grade campus band. Of these band members 9 boys and 3 girls play the trumpet.
    9·1 answer
  • What’s the measure of angle X?
    6·1 answer
  • There are 8 dinosaur eggs in a nest. Each egg weighs 48 ounces. How many pounds do all the eggs in the nest weigh together?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!