Answer:
Answer to part one of the problem = 24 DVD's
Answer to part two of the problem = 2 · x = y
Answer to part three of the problem = 25 months
Step-by-step explanation:
Part 1:
She buys 2 DVD's a month and there are 12 months in a year.
2 x 12 = 24
The minimum amount of DVD's she buys if she is in the club for one year is 24 DVD's
Part 2:
y = minimum number of DVD's bought after x years
x = amount of months
so the equation would look like this:
2 · x = y
Part 3:
If she sticks to the minimum of buying 2 DVD's a month then we can create this equation:
50 / 2 = 25
she will be a member for 25 months or 2 years and 1 month.
We need to solve the equation to find x
We will simplify the left side by multiply each bracket by the number before it
-3(x - 6) = -3(x) + -3(-6) = -3x + 18
4(x + 1) = 4(x) + 4(1) = 4x + 4
Now put them on the left side
Add the like terms on the left side
Now we will collect x on the right side and the numbers on the left side
Subtract x from both sides
Add 14 to both sides
Divide both sides by 6 to find x
The value of x is 6
C and D because 16 × 16= 256 and when multiplying negatives, a negative times a negative is a positive. -16 × -16= 256
You only wrote one option, but luckily, those two fractions ARE equivalent!
We know that because if you multiply the denominator AND numerator by 4, you get 16/20.
