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scoundrel [369]
3 years ago
5

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Time (hours) Distance (miles) 4 260 6 390 8 520 10 650
Mathematics
2 answers:
podryga [215]3 years ago
7 0
Rate of change refers to moving a certain amount of distance over a certain time period
rate of change= velocity in this case.


Bad White [126]3 years ago
3 0

Answer: 65 miles per hour.

Step-by-step explanation:

The rate of change in a function f(x) is given by :-

k=\dfrac{\text{Change in f(x) }}{\text{Change in x}}

The given table :

Time (hours)  Distance (miles)

    4                   260

    6                   390

    8                   520

   10                   650

The rate of  change for the given table :-

k=\dfrac{\text{Change in distance }}{\text{Change in time}}\\\\\Rightarrow\ k=\dfrac{390-260}{6-4}=\dfrac{130}{2}=65

Hence, the rate of change for the situation = 65 miles per hour.

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Evaluate the given algebraic expression for x = 7 and y = 3.
Ierofanga [76]

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

5 0
2 years ago
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
Kaylis [27]

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

4 0
2 years ago
A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the t
Lapatulllka [165]

Answer:

  • 3 people left

Step-by-step explanation:

  • The job can be completed by 7 people in 11 days
  • The job is equivalent of 7*11 = 77 people*days

<u>After 3 days, job left:</u>

  • (11 - 3)*7 =  56 people*days

This was completed by 7 - x people as x people left

<u>Time needed was 14 days, we have new equation:</u>

  • 14(7 - x) = 56
  • 7 - x = 4
  • x = 7 - 4
  • x = 3

As we found, 3 people left

6 0
2 years ago
Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.
DiKsa [7]

Answer:

The shorter base is 3

Step-by-step explanation:

a =  \frac{(b1 + b2)}{2}  \times h

52 =  \frac{(10 + b2)}{2}  \times 8

b2 = 3

8 0
3 years ago
Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin
erica [24]

Answer:

He can buy <u>3 bracelets</u>.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be x.

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

29+4.50\times x=42.50\\\\29+4.50x=42.50

<em>Subtracting both sides by 29 we get:</em>

<em />4.50x=42.50-29\\\\4.50x=13.5<em />

<em>Dividing both sides by 4.50 we get:</em>

x=3.

<u>The number of bracelets = 3.</u>

Therefore, he can buy 3 bracelets.

6 0
4 years ago
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