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
Answer:
see below
Step-by-step explanation:
Any number between 650 and 749, 650 and 749 are included as well
if number is 50 and above it goes up
So it would be 12 minutes and $5 per 12 minutes.
If tan x = .56, then cot x is 1.79
Answer:
Step-by-step explanation:
a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:
and cross multiply to solve for x:
56x = 728 so
13 hours.
Now use the d = rt equation:
728 = 56t so
t = 13 hours