Aubrey's favorite book is about Johnny Appleseed, the American pioneer who planted apple trees all across the country. Inspired by the story, Aubrey plants an apple seed in her backyard and tends the seed as it slowly grows into a tree. There is a proportional relationship between the age of Aubrey's apple tree (in years), x, and the height of the tree (in feet), y.
The equation that models this relationship is y=0.6x.
If this rate continues, how tall will Aubrey's apple tree be when it is 45 years old? Write your answer as a whole number or decimal.
To find out how tall Aubrey's apple tree will be when it is 45 years old, we can substitute x=45 into the equation y=0.6x:
y = 0.6 * 45
y = 27
Therefore, when Aubrey's apple tree is 45 years old, it will be 27 feet tall.
Jake likes to make lemonade using the lemons from his grandmother's trees. There is a proportional relationship between the number of pitchers of lemonade Jake wants to make, x, and the number of lemons he needs, y.
He needs 28 lemons to make 4 pitchers of lemonade. Write the equation for the relationship between x and y.
y=
To find the equation for the relationship between the number of pitchers of lemonade Jake wants to make, x, and the number of lemons he needs, y, we can use the given information that he needs 28 lemons to make 4 pitchers of lemonade.
To determine the rate of lemons per pitcher, we can divide the total number of lemons (y) by the total number of pitchers (x).
So, the rate would be:
Lemons per pitcher = Total lemons / Total pitchers
Lemons per pitcher = 28 lemons / 4 pitchers
Lemons per pitcher = 7 lemons / 1 pitcher
Therefore, the equation for the relationship between x and y is:
y = 7x
Jake likes to make lemonade using the lemons from his grandmother's trees. There is a proportional relationship between the number of pitchers of lemonade Jake wants to make, x, and the number of lemons he needs, y.
The equation that models this relationship is y=7x.
How many lemons does Jake need to make 9 pitchers of lemonade? Write your answer as a whole number or decimal.
lemons
To find out how many lemons Jake needs to make 9 pitchers of lemonade, we can substitute x=9 into the equation y=7x:
y = 7 * 9
y = 63
Therefore, Jake needs 63 lemons to make 9 pitchers of lemonade.
To find out how tall Aubrey's apple tree will be when it is 45 years old, we can use the given equation that models the relationship between the age of the tree and its height: y = 0.6x.
Substituting x = 45 into the equation, we get:
y = 0.6 * 45
To find the solution, we can simply multiply 0.6 by 45:
y = 27
Therefore, when Aubrey's apple tree is 45 years old, it will be 27 feet tall.