Answer:
Let x be the number of hours worked in each case
Let m be the amount of dollars each of them make working in their respective jobs
Let b be the amount each of them has saved before working.
The equation that represents both cases is a line
y = m*x +b (slope intercept form)
Maryann
y1 = 6($/hour) *x + $9
Carlos
y2 = 9($/hour) *x + $3
The slopes represent the amount of dollars each of them can make in an hour
We are basically asked to find the solution of the system of equations
(amount of hours = x, and amount of $ obtained = y)
Using a graphing tool, we can easily find the intersection of both graphs, which represent the solution for the problem.
The solution is
Hours of work = x = 2
Amount of $ obtained = y = 21
Answer:
Claire owed Martha $8 she originally owed Martha 12 but already gave her 4 this was a problem for Claire considering she only got $4 a week
Customer #2 has the smallest total bill, including tax and tip.
Choice A, 1.06b + 0.16(1.06b), is correct.
Customer 3's bill is approximately 10% less than customer 1's bill.
Customer 2 leaves the bigger tip.
For customer #1:
(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.
For customer #2:
1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.
For customer #3:
1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.
Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.
Let us always base on the present age. We denote this by x. Now, the age he had 2 years ago would then be denoted as (x-2). Let's equate this to 20 years old.
x - 2 = 20
x = 20 + 2
x = 22 years old
He should be 22 years old now.
Let's check the other condition. After 1 year, his age should be (x+1). Let's equate this to 23 years old.
x + 1 = 23
x = 23 - 1
x = 22
Thus, this is possible if Reuben is 22 years old as of the present.
