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Sav [38]
3 years ago
10

Descnbe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x + 2. Include the average

rate of change in your answer
Mathematics
2 answers:
Liula [17]3 years ago
4 0

Answer:

3

Step-by-step explanation:

The average rate of change is simply the change in y over the change in x between the two points. It's essentially the slope of the line:

\frac{f(5)-f(3)}{5-3} =\frac{17-11}{2} =6/2=3

Thus, the average rate of change is 3.

Hope this helps!

soldi70 [24.7K]3 years ago
3 0

Answer:

y increases by 3 units as x increases by 1 unit

Step-by-step explanation:

Average rate of change is the change per unit x.

Calculate the function values at x = 3 and x = 5

Find the change

Divide by change in d

f(3) = 3(3) + 2 = 11

f(5) = 3(5) + 2 = 17

Change: 17 - 11 = 6

6/(5-3) = 6/2 = 3

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3 years ago
What is the simplified form of the following expression?<br> 6c^2 + 2.5d - d + 2c^2 - 3d
Airida [17]
Simplify the Expression.

8c^2 - 1.5d <span />
4 0
3 years ago
A team spent 20 mins on passing drills and 40 minuets ona shooting drill, what is the ratio of time spent on shooting drills to
aliya0001 [1]
20 minutes on passing .....40 minutes on shooting

ratio of time spent on shooting to passing....
these are not hard, u just have to pay attention to the wording...

the ratio of shooting to passing is 40/20 which reduces to 2/1 or 2:1 or
2 to 1 <===

but if it would have asked for passing to shooting, it would have been :
20/40 which reduces to 1/2 or 1:2 or 1 to 2

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6 0
3 years ago
Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
rusak2 [61]

The answer is incomplete. Here is the complete question:

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: 25x\geq 600

Part 2: 15y\geq 600

Part 3: y\leq 40

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing x cars is 25x.

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, 25x\geq 600

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, 15y\geq 600

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of y can't exceed 40 and must be less than or equal to 40. Therefore,

y\leq 40

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, 15y=600 is the minimum condition for signing up for the trip. Now, let us solve the above equation for y. This gives,

15y=600\\y=\frac{600}{15}=40

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

8 0
3 years ago
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