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miv72 [106K]
3 years ago
10

Need help with these

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
Pretty sure 11 is 75%
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Please help I don’t know if I’m doing this correctly
solmaris [256]

Answers:

  1. Exponential and increasing
  2. Exponential and decreasing
  3. Linear and decreasing
  4. Linear and increasing
  5. Exponential and increasing

=========================================================

Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x where b is the base of the exponent and 'a' is the starting term (when x=0).

If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.

If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.

In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.

Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.

---------------------

Problems 3 and 4 are linear functions of the form y = mx+b

m = slope

b = y intercept

This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.

If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.

On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.

Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.

7 0
1 year ago
A total of 479 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer stu
irina [24]

Say the number of adult tickets is x. That means the number of student tickets is 71 less, making it x - 71.

We can add the number of student and adult tickets, because we know their sum is 479.

x + x - 71 = 479

Now, we solve for x.

2x - 71 = 479

2x = 550

x = 275

So, there were 275 adult tickets sold.

8 0
3 years ago
What is the constant of proportionality in the equation y=5x?
zaharov [31]

Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.

5 0
2 years ago
You deposit $1500 in an account that pays 3% annual interest. Find the balance after 1 year if the interest is compounded monthl
erica [24]

Answer:

I believe the balance would be $1,545.00

7 0
2 years ago
Find the area of a space figure is its a rectagle with triangle on each end
vladimir1956 [14]
Formula for surface area of a triangular prism: bh+2ls+lb
(7*4)+2(8*5)+(8*7)
28+80+56
=164 cm^2
5 0
3 years ago
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