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The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is
Filling the cooler is an illustration of a linear function
A linear function is represented as:
Where
- m represents the slope/rate
- b represents the y-intercept/the initial value
- x and y are the variables
By comparison, we have the following parameters
--- the amount of cups per ice
---- the initial amount of cup
So, the equation that represents this scenario is
Read more about linear functions at:
Answer:
Larger number is 13 and Smaller number is 4.
Step-by-step explanation:
Let the larger number be x.
Also let the smaller number be y.
We need to find the two numbers.
Given:
The larger of two numbers is twice the smaller increased by five.
framing in equation form we get;
⇒equation 1
Also Given:
Three times the larger exceeds double the smaller by 31
⇒equation 2
Now Substituting the value of x from equation 1 in equation 2 we get;
Now Using Distributive property we get;
Combining the like terms we get;
Now Using Subtraction property we get;
Now Using Division property we get;
Now Substituting value of y in equation 1 we will find the value of x.
Hence Larger number is 13 and Smaller number is 4.