Ok so simply 1/8 of 95p is -> 95/8 = 11.875 so to the nearest penny it would 12p.
Hope this helps :).
Answer:
Step-by-step explanation:
The domain are all the x values
(-7,-3), (-4,1), (1,-4), (6,3)
x here is from -7 to 6
domain ∈ [-7, 6]
The range are all the y values
(1,-4), (-7,-3), (-4,1), (6,3)
y here is from -4 to 3
range ∈ [-4, 3]
The difference between the gas prices in 2013 and 2001 is 3.00
<h3>Graphing tool</h3>
See attachment for the graph of the line of best fit
<h3>The equation</h3>
Start by calculating the slope of the line of best fit using:
![b = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
From the line of best fit, we have:
![b = \frac{3 -2}{8 -4}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B3%20-2%7D%7B8%20-4%7D)
The regression equation is then represented as:
![\^y = b(\^x - x_1) + y_1](https://tex.z-dn.net/?f=%5C%5Ey%20%3D%20b%28%5C%5Ex%20-%20x_1%29%20%2B%20y_1)
So, we have:
![\^y = \frac 14 (\^x - 4) + 2](https://tex.z-dn.net/?f=%5C%5Ey%20%3D%20%5Cfrac%2014%20%28%5C%5Ex%20-%204%29%20%2B%202)
![\^y = \frac 14\^x - 1 + 2](https://tex.z-dn.net/?f=%5C%5Ey%20%3D%20%5Cfrac%2014%5C%5Ex%20-%201%20%2B%202)
![\^y = \frac 14\^x + 1](https://tex.z-dn.net/?f=%5C%5Ey%20%3D%20%5Cfrac%2014%5C%5Ex%20%2B%201)
So, the linear regression equation is:
![\^y = \frac 14\^x + 1](https://tex.z-dn.net/?f=%5C%5Ey%20%3D%20%5Cfrac%2014%5C%5Ex%20%2B%201)
In 2001, the value of x is 1.
So, we have:
![\^y_1 = \frac 14\times (1) + 1](https://tex.z-dn.net/?f=%5C%5Ey_1%20%3D%20%5Cfrac%2014%5Ctimes%20%281%29%20%2B%201)
![\^y_1 = 1.25 \\](https://tex.z-dn.net/?f=%5C%5Ey_1%20%3D%201.25%20%5C%5C)
In 2013, the value of x is 13.
So, we have:
![\^y_2 = \frac 14\times (13) + 1](https://tex.z-dn.net/?f=%5C%5Ey_2%20%3D%20%5Cfrac%2014%5Ctimes%20%2813%29%20%2B%201)
![\^y_2 = 4.25](https://tex.z-dn.net/?f=%5C%5Ey_2%20%3D%204.25)
So, the difference (d) between the prices is:
![d = 4.25 - 1.25](https://tex.z-dn.net/?f=d%20%3D%204.25%20-%201.25)
![d = 3.00](https://tex.z-dn.net/?f=d%20%3D%203.00)
Hence, the difference between the gas prices in 2013 and 2001 is 3.00
Read more about linear regression at:
brainly.com/question/17844286
Answer:
Step-by-step explanation:
2(x+0.6) + 5(1.02-x) = 0
Opening the brackets
2x + 1.2 + 5.1 - 5x = 0
-3x + 6.3 = 0
-3x = -6.3
x = -6.3/-3
x = 2.1
Answer:
1,500 calories
Step-by-step explanation:
2,400 ÷ 8 = 300
300 × 5 = 1,500