A high school track is shaped as a rectangle with a half circle on either side.
2 answers:
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Answer:
Part a) The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk
Part b) The scale factor is 1.5
Part c) The constant of proportionally for this relationship is 1.5
Part d) The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk
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
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
Let
x ----> the quantity of cups of milk
y ----> the quantity of tablespoons of chocolate syrup
k ---> the constant of proportionality
For y=3, x=2 ----->
For y=12, x=8 ----->
For y=3/2, x=1 ----->
For y=15, x=10 ----->
therefore
The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk
The linear equation is
That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk
The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k
The scale factor is 1.5
The constant of proportionality is 1.5
The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk