Answer:
The correct answer is:
186,000 x 1 1⁄3 = 248,000 miles
Step-by-step explanation:
The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).
In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.
The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.
The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.
For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.
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Answer:
they are supplementary to each other
Step-by-step explanation:
Carl's new car gets 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?
a. x = 27y
b. y = 27x
c. y = 27 + x
d. x = 27 + y
Answer:
b. y = 27x
Step-by-step explanation:
When you talk about "per" it means multiplication, and 27 is being multiplied by (x) gallons of gas.
The inverse of the function f(x) is x/4 + 3/28
The function is given as:
f(x) = 4x - 3/7
Set f(x) = y
y = 4x - 3/7
Swap the positions of x and y
x = 4y - 3/7
Make y the subject
4y = x + 3/7
Divide by 4
y = x/4 + 3/28
Hence, the inverse of the function f(x) is x/4 + 3/28
Read more about inverse functions at:
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Answer:
20 months
Step-by-step explanation:
Let x represent the number of months.
We have been given that at one bank, Aaron would pay $2500 initially and $150 each month for the loan. So amount paid in x months would be .
We are also told that at another bank, Aaron would pay $3000 initially and $125 each month for the loan. So amount paid in x months would be .
To find the number of months when both loan payments will be the same, we will equate both expressions as:
Therefore, after 20 months both loan payments would be the same.