Answer:
9/2 is the slope of the graphed line.
The second statement is true.
Step-by-step explanation:
It's A. y=5 because y-lines are horizontal, and x-lines are vet=rtical, and all horizontal and vertical lines are perpendicular (they create a right angle). y=5 line crosses all points that are (x,5) because the 5 in (x,5) is 5 up from the origin and x left or right. y=5 is a horizontal line that is 5 up from the origin.
27. 3(9+4)
28. 12(1+3)
29. 4(4+5)
30. 2(x+4)
31. 6(5+2x)
32. 7(6x+7)
Answer:
![y=1.25x+3.5](https://tex.z-dn.net/?f=y%3D1.25x%2B3.5)
Step-by-step explanation:
Let
represent number of tickets and
represent the total cost to purchase them.
Now,assuming the relation to be of the form:
, where,
and
are constants.
Let us find
and
using the values from the table.
For,
. So,
![12.25=7a+b\\or\ 7a+b=12.25------------1](https://tex.z-dn.net/?f=12.25%3D7a%2Bb%5C%5Cor%5C%207a%2Bb%3D12.25------------1)
For,
. So,
![16=10a+b\\or\ 10a+b=16------------2](https://tex.z-dn.net/?f=16%3D10a%2Bb%5C%5Cor%5C%2010a%2Bb%3D16------------2)
Subtract equation 1 from equation 2. This gives,
![10a+b-7a-b=16-12.25\\(10a-7a)+(b-b)=3.75\\3a=3.75\\a=\frac{3.75}{3}=1.25](https://tex.z-dn.net/?f=10a%2Bb-7a-b%3D16-12.25%5C%5C%2810a-7a%29%2B%28b-b%29%3D3.75%5C%5C3a%3D3.75%5C%5Ca%3D%5Cfrac%7B3.75%7D%7B3%7D%3D1.25)
Now, plug in
in equation 1 and solve for ![b](https://tex.z-dn.net/?f=b)
![7(1.25)+b=12.25\\8.75+b=12.25\\b=12.25-8.75=3.5](https://tex.z-dn.net/?f=7%281.25%29%2Bb%3D12.25%5C%5C8.75%2Bb%3D12.25%5C%5Cb%3D12.25-8.75%3D3.5)
Therefore, the relation between the number of tickets and total cost of purchase is given as:
![y=ax+b\\y=1.25x+3.5](https://tex.z-dn.net/?f=y%3Dax%2Bb%5C%5Cy%3D1.25x%2B3.5)