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Anettt [7]
2 years ago
8

The graph below shows the relationship between two variables.

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0

The graph adequately represents the following case

"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."

Step-by-step explanation:

To solve the above-mentioned problems we need to filter the results through analysing the options given-

We have to keep in mind that-

  1. For an increase in value/quantity- the graph would be on an upswing
  2. For decrease in value/quantity- The graph would be in declining mode
  3. For constant value- horizontal graph line parallel to the x-axis

Now going through the options-

option 1:-

David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.

option 2:-

test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.

option 3:-

After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.

option 4:-

Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph

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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

x=5000(t+\frac{100}{t+10}) to be evaluated between 3 and 5, which is:

x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8

6 0
3 years ago
Diya spent 2/5 of her money on a dress and 1/2 of the reminder on a doll. She spent $8 more o the dress than the doll. How much
Elena L [17]

Answer:

$24

Step-by-step explanation:

2/5 — dress

3/5 — remainder

1/2 of remainder = 1/2 × 3/5 = 3/10 — doll

rewrite fraction spent on dress: 4/10

dress - doll = $8

4/10 - 3/10 = 1/10

1/10 = $8

fraction of money left = 10/10 - 4/10 - 3/10

= 3/10

amount of money left = $8 × 3

$24

8 0
3 years ago
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
DedPeter [7]
The last one y=2x-5 if you plug the points into the x and y values you can see this equation works for both points.
5 0
2 years ago
Travis drove 324 miles and used 12 gallons of gasoline. Find the unit rate
zysi [14]

Answer:

27

Step-by-step explanation:

324 /12 = 27

I think this might be it hope it helps

3 0
2 years ago
Simplify this expression 10b+7-3b-2
iren2701 [21]

Answer:

7b+5

Step-by-step explanation:

10b + 7 − 3b −2

=10b + 7 + −3b + −2

Combine Like Terms:

=10b + <u>7 </u>+ −3b + <u>−2 </u>

=(10b + −3b) + ( <u>7 </u>+ <u>−2</u>)

=7b + <u>5</u>

Answer:

7b + 5

Hope this helps : )

3 0
3 years ago
Read 2 more answers
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