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german
3 years ago
8

John is trying to find the relationship between a student's age and the number of pets that he or she owns. He collects data fro

m a
random sample of students at his high school. He plots the data on a scatter plot.
What relationship between age and number of pets is John most likely to see?
A constant
B. negative
C. positive
D. no correlation
Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0
Positive

Explanation: I’m guessing as you get older, you get more responsible, so you have more pets
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B

Step-by-step explanation:

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If I am traveling 80 kilometers per hour how long will it take me to travel 20 kilometers per hour
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
coldgirl [10]
Changing the equation into slope form: y = mx + c, where m is the slope [gradient] and c is the y-intercept.

2x+3y=1470
3y = -2x+1470
y= - \frac{2}{3}x+ \frac{1470}{3}
y=- \frac{2}{3}x+490

The gradient is - \frac{2}{3} and y-intercept is at y=490

Graphing y=- \frac{2}{3}x+490 using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
    0 = - \frac{2}{3}x+490
    \frac{2}{3}x = 490
    2x = 1470
    x = \frac{1470}{2}
    x = 735
    So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

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

Next month's profit equation

2x+3y=1593

Rewriting this into slope-equation form

3y = -2x+1593
y=- \frac{2}{3}+ \frac{1593}{3}
y= - \frac{2}{3}+531

The gradient, m, equals to - \frac{2}{3}
The y-intercept, c, equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept. 

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

A linear graph show points of (0, 300) and (450, 0)

We work out the slope: 
\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30}  =- \frac{2}{3}


Y-intercept at x = 0, so it's at y = 300

Equation y = - \frac{2}{3}+300

6 0
3 years ago
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the
Lera25 [3.4K]

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

8 0
3 years ago
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