Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
A lot of ways medals can be awarded
For this case we must solve the following linear equation:
![5-6x = 8x + 17](https://tex.z-dn.net/?f=5-6x%20%3D%208x%20%2B%2017)
Adding
to both sides of the equation we have:
![5 = 8x + 6x + 17\\5 = 14x + 17](https://tex.z-dn.net/?f=5%20%3D%208x%20%2B%206x%20%2B%2017%5C%5C5%20%3D%2014x%20%2B%2017)
Subtracting 17 from both sides of the equation:
![5-17 = 14x](https://tex.z-dn.net/?f=5-17%20%3D%2014x)
Different signs are subtracted and the major sign is placed:
![-12 = 14x](https://tex.z-dn.net/?f=-12%20%3D%2014x)
We divide by 14 on both sides of the equation:
![x = - \frac {12} {14}\\x = - \frac {6} {7}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%20%7B12%7D%20%7B14%7D%5C%5Cx%20%3D%20-%20%5Cfrac%20%7B6%7D%20%7B7%7D)
Answer:
![x = - \frac {6} {7}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%20%7B6%7D%20%7B7%7D)
Answer:
$4.80
Step-by-step explanation:
By adding the prices together, you can determine that the 5 pounds of the trail mix cost $24.
Simply divide 24 by 5 to get the price per pound, and you will get 4.8
(0,2)
GRAPH ALL THREE COORDINATES AND DRAW LINES TO SEE WHERE IT INTERSECTS