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Katarina [22]
3 years ago
9

What is the average rate of change between:

Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer: See bolded below

Step-by-step explanation:

Average rate of change is the slope. To find that, we would need the equation m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

<u>Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.</u>

1. The coordinate points are (1, 2) and (2, 4).

m=\frac{4-2}{2-1}=\frac{2}{1} =2

The average rate of change is 2.

2. The coordinate points are (2, 4) and (3, 8).

m=\frac{8-4}{3-2} =\frac{4}{1} =4

The average rate of change is 4.

3. The coordinates are (3, 8) and (4, 16).

m=\frac{16-8}{4-3} =\frac{8}{1} =8

The average rate of change is 8.

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What is the largest number of pancakes that Benjamin can afford
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Answer:

See explanation

Step-by-step explanation:

Here is the complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?

Given:

Cost of chocolate milk = $3.25

Maximum bill that Benjamin wants before tax = $30

Cost of stack of 4 pancakes = $5.50

Let S be the number of stacks of pancakes that Benjamin buys

Solution:

Cost per stack of pancakes = $5.50  

Cost of S number of stacks of pancakes = S*5.50  = 5.50 S

So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes

Compute the total money spent by Benjamin:

Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S

Maximum bill that Benjamin wants is $30 So,

The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:

3.25 + 5.50S ≤ 30  ----- (1)

Now using (1) we can find the largest number of pancakes that  Benjamin can afford :

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25    

subtract 3.25 from 30

5.50S ≤ 26.75

Divide by 5.50

S ≤ 4.863636

S ≤ 4.86

S≤ 4 approx

Since the restaurant only sells pancakes in stacks of 4 pancakes so,

4 stacks = 4 *4 =  16

So the largest number of pancakes that Benjamin can afford are 16.

If we do not round off the the value stacks then we get:

4.86 stacks = 4.86 *4 =  19.44 pancakes

So the largest number of pancakes that Benjamin can afford are 19

3 0
3 years ago
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