Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and 
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let 
Therefore, the constant of proportionality is 6. Hence the complete equation is given as:
Answer:
6
Step-by-step explanation:
3+3+6+6=18
3*6=18
For this case, the first thing we must do is define variables.
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
The second makes 14 trips:
The difference between the first truck and the second truck is:
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
According to the information given in the exercise, the following expression represents the area of the rectangular garden:
And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:
You can identify that the word "combined" indicates that that expression was obtained by adding both areas.
Knowing the above, you can set up the following equation:
Where "A" is the area of the walkway around the rectangular garden.
Solving for "A", you get the following expression:
The answer is:
