Monique bought 5 1/2pounds of chicken for $18.51. What was the cost per pound?

Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔

bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$(x_1, y_1)$ and $(x_2, y_2)$ are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

$h(0) = 3(5)^0 = 3 \cdot 1 = 3$

$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

$h(2) = 3(5)^2 = 3 \cdot 25 = 75$

$h(3) = 3(5)^3 = 3 \cdot 125 = 375$

Now, let's find the slopes for each of the sections of the function:

Section A

$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

Section B

$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

$\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25$

It is 25 times greater. This is because $3(5)^x$ is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0

3 years ago

A supplier delivers an order for 20 electric toothbrushes to a store. by accident, three of the electric toothbrushes are defect

evablogger [386]

3 of the 20 toothbrushes are defective, so the initial probability of selecting a defective toothbrush on the first try is 3/20. After that, there will be 2 defective toothbrushes in the remaining 19, so the probability of selecting one of those on the 2nd try will be 2/19. To get the probability of those two events happening sequentially, we multiply the two probabilities. Thus (3/20)*(2/19) = 6/380 = 0.0157, or about 1.6%.

3 0

3 years ago

15 points! Find the measure of

IrinaVladis [17]

Answer:

94

Step-by-step explanation:

Since the circle equals to 142 degrees you have to subtract the already given umber (48) by the total amount and it'll give you the missing angle which is 94.

8 0

3 years ago

Read 2 more answers

5 out of 20 students said ice cream was their favorite snack if they were a hundred six graders how many would chose ice cream P

Rufina [12.5K]

Answer:

25 students

Step-by-step explanation:

20 times 5 equals 100

5 times 5 equals 25

To get to 100 students you would times it by 5 and because we times'd the 20 times 5 we need to do the same to the 5 which would result in 25 students. Hope this helped! xx

4 0

2 years ago

The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each o

STatiana [176]

Answer: each girl received 30 stickers.

Step-by-step explanation:

Let x represent the number of stickers that the boys received.

Let y represent the number of stickers that the girls received.

The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were

2/3 × 42 = 28

The number if girls would be

42 - 28 = 14

The total number of stickers that the school principal shared was 840. It means that

28x + 14y = 840- - - - - - - - -1

Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

28x + 14 × 2x = 840

28x + 28x = 840

56x = 840

x = 840/56

x = 15

y = 2x = 15 × 2

y = 30

4 0

3 years ago