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MA_775_DIABLO [31]
3 years ago
5

4

Mathematics
1 answer:
user100 [1]3 years ago
6 0
The answer is 15 I’m pretty sure
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3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

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

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
3x+1. HELP ME!!!!!! I have this question as a quiz 4 u all.
erica [24]

Answer:

3x+1=3x+1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help finding what the answers are in the empty spaces? Anyone willing to help me find them or tell me?
Readme [11.4K]

Answer:

1) He earns $288 a week

2) 270.20

3) 226.97

4) 215. 62

6) 967.68

Step-by-step explanation:

4 0
3 years ago
Find the factor pairs of 80? Please help me :,(
koban [17]
1,80
2,40
4,20
5,16
8,10
3 0
3 years ago
Read 2 more answers
Plz gyz ineed the calculation
postnew [5]

Answer:

1/8

Step-by-step explanation:

1st day......1/3

2nd day....1/6

3rd day....3/8

common denominator of 24

1/3 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24 (this is water used)

that means that : (24/24 - 21/24) = 3/24 reduces to 1/8 .....water in the tank

6 0
3 years ago
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