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ELEN [110]
3 years ago
13

The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the

graph labeled I? A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x axis. The car travels the same distance per unit of time because the portion shows a linear, increasing function. The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
Mathematics
2 answers:
Ede4ka [16]3 years ago
5 0

Answer:

The car travels the same distance per unit of time because the portion shows a linear, increasing function.

Step-by-step explanation:

The portion labeled I is a line slanting up.  This means it is increasing and linear.

Any linear set of data has a constant rate of change; this means that it changes the same amount vertically (the y-coordinate) for every unit change horizontally (the x-coordinate).  

In terms of this problem, this means that the distance (y-coordinate) changes the same amount per unit of time (x-coordinate).

liq [111]3 years ago
4 0
The answer is  The car travels different distances per unit of time because the portion shows a nonlinear, increasing function
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cupoosta [38]

Option A:

–6 – (–1)

Solution:

Minus symbol are given in the diagram.

There are 6 minus symbol in the diagram.

From that expression 1 minus symbol is cancelled.

<em><u>To find which expression represents this situation:</u></em>

Option A: –6 – (–1)

Total number of minus = –6

From this cancel one minus: –6 – (–1)

–6 – (–1) = –6 + 1 = –5

So, remaining minus are –5.

This is the correct answer.

Option B: –6 –1

–6 –1 = –7

But note that remaining 5 minus are only there in the diagram.

So, this is not correct answer.

Option C: –5 – (–1)

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Option D: –5 –1

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Hence –6 – (–1) is the correct expression which represented the diagram.

8 0
3 years ago
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2 years ago
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

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Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

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Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

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Solving for b:

b=79-150m=79-150(0.18) = 52.

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c=0.18x+52

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Step-by-step explanation:

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san4es73 [151]

Answer:

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* v(h) represents the volume of the water (ft³) in the pool at h hours

* h is the number of hours

* When h increased v(h) decreased

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3 years ago
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