Answer:
![y=14.5x+5](https://tex.z-dn.net/?f=y%3D14.5x%2B5)
Step-by-step explanation:
Let
x ----> the number of tickets
y ----> the price of tickets
we have the ordered pairs
(4,63) and (6,92)
step 1
<em>Find the slope of the linear equation</em>
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
substitute the values
![m=\frac{92-63}{6-4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B92-63%7D%7B6-4%7D)
![m=\frac{29}{2}=\$14.5\ per\ ticket](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B29%7D%7B2%7D%3D%5C%2414.5%5C%20per%5C%20ticket)
step 2
Find the y-intercept or initial value of the linear equation
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope b is the y-intercept
we have
![m=14.5](https://tex.z-dn.net/?f=m%3D14.5)
![point\ (4,63)](https://tex.z-dn.net/?f=point%5C%20%284%2C63%29)
substitute
![63=14.5(4)+b](https://tex.z-dn.net/?f=63%3D14.5%284%29%2Bb)
solve for b
![b=63-14.5(4)](https://tex.z-dn.net/?f=b%3D63-14.5%284%29)
![b=\$5](https://tex.z-dn.net/?f=b%3D%5C%245)
In this context the y-intercept is a one charge fee for the ticket service
The equation is equal to
![y=14.5x+5](https://tex.z-dn.net/?f=y%3D14.5x%2B5)
B , A , C , D , it’s all of the above
Answer:
36 cups of Chex total.
Step-by-step explanation:
Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.
Answer: 14p +70
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the squares have areas of 32u^2. The side lengths are
![s=\sqrt{32}\\ \\ \text{By the Pythagorean Theorem}\\ \\ x^2=s^2+s^2\\ \\ x^2=32+32\\ \\ x^2=64\\ \\ x=\sqrt{64}\\ \\ x=8](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B32%7D%5C%5C%20%5C%5C%20%5Ctext%7BBy%20the%20Pythagorean%20Theorem%7D%5C%5C%20%5C%5C%20x%5E2%3Ds%5E2%2Bs%5E2%5C%5C%20%5C%5C%20x%5E2%3D32%2B32%5C%5C%20%5C%5C%20x%5E2%3D64%5C%5C%20%5C%5C%20x%3D%5Csqrt%7B64%7D%5C%5C%20%5C%5C%20x%3D8)