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Vladimir79 [104]
3 years ago
5

Which equation is modeled by the graph? Using the equation, about how many more cars are in the deck at 9:00 a.m. than at 8:30 a

.m.?
A) y = 3x + 50; 90 cars
B) y = 4x + 50; 75 cars
C) y = x + 50; 100 cars
D) y = 3x - 50; 120 cars

Mathematics
2 answers:
omeli [17]3 years ago
6 0
The correct answer is Choice A.

You can see from the graph that the y-intercept is 50 because it cross on the left at 50.

To find the slope, we can use the following two points (0, 50) and (20, 110). This will give a slope of 3.

Put the 50 and 3 together and you will have the equation:
y = 3x + 50
Stells [14]3 years ago
6 0

Answer:

y = 3x + 50

Step-by-step explanation:

Substitute the y-intercept (0, 50) and an estimated point (40, 170) into the slope formula and simplify.

m =  

y2 - y1

x2 - x1

m =  

170 - 50

40 - 0

m = 3

Substitute slope and y-intercept into slope- intercept form.

y = mx + b

y = 3x + 50

The slope represents the change in the number of cars in the parking garage per minute, which is 3.  

To find the number of cars in the parking garage at 8:30 a.m., substitute 30 into the equation for x (number of minutes after 8:00 a.m.) and simplify:  

y = 30(3) + 50 = 140

To find the number of cars in the parking garage at 9:00 a.m., substitute 60 into the equation for x (number of minutes after 8:00 a.m.) and simplify:  

y = 60(3) + 50 = 230

Find the difference: 230 - 140 = 90 cars

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True [87]

The regression equation for the data given is y= -8.57 -2.31x

Step-by-step explanation:

The first step is to form a table as shown below;

x           y          xy         x²         y²

1            4           4          1          16

2            1            2          4         1

3            5          15         9         25

4             10         40        16       100

5             16         80        25      256

6              19        114       36        361

7               15       105       49       225

28             60       360      140     984  ------sum

A linear regression equation is in the form of y=A+Bx

where ;

x=independent variable

y=dependent variable

n=sample size/number of data points

A and B are constants that describe the y-intercept and the slope of the line

Calculating the constants;

A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²

A=(60)(140) - (28)(360)  / 7(140)-(28)²

A=8400 - 10080 /980-784

A= -1680/196

A= - 8.57

B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²

B= 7(360)-(28)(60) / 7(60) - (28)²

B=2520 - 1680 /420-784

B=840/-364

B= -2.31

y=A+Bx

y= -8.57 -2.31x

Learn More

Regression equation :brainly.com/question/12280902

Keywords : equations, regression line, data

#LearnwithBrainly

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