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Daniel [21]
3 years ago
15

Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles t

raveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. What does 0.45 represent in the equation?
Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

<u>Answer</u>

The slope of the equation.


<u>Explanation</u>

The general equation of line is y = mx + c, where (x,y) is a point on the line, m is the slope and c is the y-intercept.

When the line is in the equation above, we can explain the meaning of each term.

After recording the  data plotting the line, Ted came up with the equation;

y = 300 + 0.45x.

Writing this in the form of y = mx + c we have,

y = 0.45x + 300.

m = 0.45 ⇒ This is the slope of the equation.

guajiro [1.7K]3 years ago
6 0
.45 represents a positive slope... if you are using usatestprep it should be D
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A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s
irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

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2 years ago
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____..
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About $12.30

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7 0
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What is 2 13/18 - z = 1 19/36
Rama09 [41]

Answer z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

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2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

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