Answer:
56 hours
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x -----> the number of hours
y ----> the amount earned in dollars
This problem represent a proportional relationship between the variable x and the variable y
Find the value of the constant of proportionality k
For (3,27) ----> 
For (9,81) ----> 
For (21,189) ----> 
The constant of proportionality k is 9
The linear equation is
For y=$500
substitute in the equation and solve for x
Divide by 9 both sides
9514 1404 393
Answer:
21. D
22. C
Step-by-step explanation:
21. The expansion of the given expression is ...
__
22. The least likely team to make the championship game is the one with the lowest probability.
3/8 < 1/2 < 2/3 < 4/5
The Bulldogs are least likely to play in the championship game.
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height
Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7
9 years after it was planted: 16 feet
so x= 9 y=16
With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.
To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )
Now we can make the equation
y = 3x -11
b (?) and c
m and n have the same slope (-2/5) so m//n
