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Anestetic [448]
2 years ago
7

There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation repre

sent a linear or nonlinear function? Explain why.
Mathematics
2 answers:
Lerok [7]2 years ago
8 0
A Linear function because the slope is constant.
If dollars represents the "y value" and quarters the "x value"
Then slope = rise/run = 1/4

y = \frac{1}{4} x
s344n2d4d5 [400]2 years ago
6 0

If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4.

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A compact disc player costs £50 plus 17 1/2% Vat. Calculate the total cost of the compact disc player
Shtirlitz [24]
With Calculator:
To work out the multiplier, take the percentage, divide by 100 and add 1
17.5% / 100 = 0.175
1 + 0.175 = 1.175
£50 x 1.175 = £58.75

Without Calculator:
First work out easy percentages of 50 (if needed use previous answers (such as 10) to work out smaller percentages (such as 5%))
100% = 50
10% = 5
5% = 2.5
2.5% = 1.25
10% + 5% + 2.5% = 17.5%
5 + 2.5 + 1.25 = £8.75
Add this on to the original price:
£50 + £8.75 = £58.75

The total price, including VAT, is £58.75
7 0
2 years ago
What is the range of the following function?
butalik [34]

Answer:

9

Step-by-step explanation:

8 0
2 years ago
The first five terms of a sequence are
Elena L [17]

Answer:

(a) 7 + 3( n - 1 )

(b) 1006

Step-by-step explanation:

ARITHMETIC SEQUENCE.

The number of term of an Arithmetic progression has the formular :

nth term = a + ( n - 1 ) d

a = 7

d = 10 - 7 = 3

nth term = 7 + ( n - 1 ) 3

= 7 + 3n - 3

= 7 + 3( n - 1 )

Therefore,

the nth term of the sequence

= 7 + 3( n - 1 )

(b) For the 1000th term

= 7 + 3 ( 1000-1 )

= 7 + ( 999 )

7 + 999 = 1006

Therefore,

the 1000th term = 1006

5 0
2 years ago
Which side lengths form a right triangle.
belka [17]
Answer: B

Explanation:

Use Pythagorean’s theorem to find it out:

A^2 + B^2 = C^2

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

So these side lengths create a right triangle
3 0
3 years ago
8.
borishaifa [10]

Answer: 143

Step-by-step explanation: So, first, you add the two first amounts, which are $12 and $22, which is 34. Then, you divide the amount you have (4882) by the amount you <em>need</em> (34). And finally, you take away the decimal, and you have your answer!

6 0
3 years ago
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