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3 years ago

Which of the following examples have a constant rate of change?

Mathematics

2 answers:

Paladinen [302]3 years ago

8 0

Answer:

B/second option

Step-by-step explanation:

The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.

The last option is wrong because if bacteria triples, then that is exponential, not constant change.

Only the middle option makes sense. The rate of change is $35 for each hour!

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Annette [7]3 years ago

5 0

Answer:

The electrician.

Step-by-step explanation:

In the first scenario, the time it takes to makes the meatballs decreases.It takes 30 min at first to make 30 meatballs, then it take 20 minutes to make 30 meatballs.

In the second scenario, the amount of money the electrician is making per hour is constant.The electrician makes exactly $35 every hour.

The third scenario is an exponential graph. It will exponenitally increase because the bacteria will triple.

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A certain number of friends are waiting in line to board a new roller coaster. they can board the ride in 5,040 different ways.

Paraphin [41]

There are seven (7) friends.

The first friend to board can be any one of the 7. For each of them ...
The 2nd one to board can be any one of the remaining 6. For each of them ...
The 3rd one to board can be any one of the remaining 5. For each of them ...
The 4th one to board can be any one of the remaining 4. For each of them ...
The 5th one to board can be any one of the remaining 3. For each of them ...
The 6th one to board can be either of the remaining 2. For each of them ...
The 7th one to board is the last 1 standing.

The number of different ways that this could play out is

(7 x 6 x 5 x 4 x 3 x 2 x 1) = 5,040

6 0

3 years ago

Write an equation for each line.

lesya692 [45]

Answer:

Blue (p): x = -4

Red (l) : y = 4

Black (m): y = -2x + 4

Green (n): y = x - 1

Step-by-step explanation:

For the first two, red and blue, you just simply look at what axis they lie on, and what point! Since blue is on the x, its x = -4.

The remaining two lines, I always look for the y-intercept first! You should write that down, then use RISE/RUN to figure out the slope!

I hope this helps, and I'll be here if you need me!! Have a nice day :D

7 0

3 years ago

Megan has $500 in short-term savings, $5,000 in her retirement savings account, $500 in credit card debt, and student loan debt

laila [671]

Given, the amount Megan has in short term savings = $500.

The amount in retirement savings account = $5000.

The amount in credit card debt = $500.

The amount in student loan debt = $6500.

So total assets of Megan = Sum of short term savings and retirement savings.

Total asset = $500 + $5000 = $ $(500+5000)$ = $ $5500$

Total liabilities of Megan = sum of credit card debt and student loan debt.

Total liability = $ 500 + $6500 = $ $(500+6500)$ = $ $7000$

Now to find Megan's net worth we have to subtract total liability from total asset.

So Megan's net worth = $5500-$7000 = $ $(5500-7000)$ = $ $(-1500)$

So we have got the required answer.

Net worth of Megan = -$1500.

4 0

3 years ago

Read 2 more answers

As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you hav

Oksanka [162]

Answer:

You can create the schedule for the week in 19,958,400 ways.

Step-by-step explanation:

The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many ways can you create the schedule for the week?

8 shows from a set of 12. So

$P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400$

You can create the schedule for the week in 19,958,400 ways.

5 0

3 years ago

For what value does x does 3^2x= g^3x-4 A)1 B)2 C)3 D)4

netineya [11]

The question has an error because the letter g does not make sense in the context.

I will assume that the g is really the number 9.

In that case, the equation to solve would be:

$3^{2x} = 9^{3x-4}$

You can solve for x following these steps:

1) make $9=3^2$

=>

$3^{2x} = 3^{2(3x-4)}$

2) Given that the basis are equal the exponents have to be equal =>

2x = 2(3x - 4)

3) Solve:

2x = 6x - 8

6x - 2x = 8

4x = 8

x = 8/4

x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.

Under that assumption, the answer is the option B) x = 2.

3 0

3 years ago