All categories

2 years ago

Which of the following equations best models the data plotted below?

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

6 0

The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope.
Here are our options:
<span>A. y = x + 4
B. y = 4x + 9
C. y = x + 18
D. y = 3x + 22

Which has the closest approximation of the y-intercept?
The y-intercept is not directly given, but we can assume it is less than 10.
That leaves us with A and B.

Which has the closest approximation of the slope?
The graph, on average, seems to move up about 60 and over about 15.
Slope = rise/run = 60/15 = 4. Although the slope isn't exactly 4, it's much closer to 4 than 1, which is slope for option A.

Therefore, the answer is
B) y= 4x + 9

</span>

You might be interested in

If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?

DerKrebs [107]

<span>The value of (f/g)(x) is determined by dividing the polynomial f(x) by the polynomial g(x) which is only equal to -x2. If we divide the first term of f(x), x4, with -x2, we arrived with an answer of -x2. For the second term, we arrive with the answer x. Similarly for the third term, we derive with an answer that is -1. Combining all the answers, we have -x2 + x - 1.</span>

4 0

3 years ago

Read 2 more answers

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

3 years ago

100 POINTS PLEASE HELP ASAP!!!!!

igomit [66]

Answer:

B. act

........

6 0

3 years ago

Read 2 more answers

Brian invests £4000 into his bank account.

siniylev [52]

Answer:

14 years

Step-by-step explanation:

£280 is 7% of 4000 so £4000 euro more would be 4000/280 = 14

7 0

2 years ago

A stadium has 49000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in secti

eimsori [14]

Answer:

A stadium has 49000 seats.

Seats sell for $25 in Section A, z

$20 in Section B,-------------------x seats

$15 in Section C. ------------------y seats

(x+y)=z

25(x+y)+20x+15y=1052000

25x+25y+20x+15y=1052000

45x+40y=1052000

9x+8y=210400------------------1

2x+2y=49000

Step-by-step explanation:

4 0

3 years ago