Answer:
Step-by-step explanation:
Given: A formula that describes this scenario:
where, x = Amount down
y = Money each month
z = Number of months
t = Total price
To solve the formula for the amount of money Jeremy must pay each month i.e. y, first subtract t on both sides of the equation, we get,
Now, divide z on both sides, we get
The correct answer is:
Explanation:
We want to solve for the amount of money he pays each month. This is represented by y in the equation. This means we want to isolate y in the equation:
x = t - yz
We first want to subtract t from each side:
x - t = t - yz - t
x - t = -yz
Now we want to cancel the negative sign and z. We can isolate both of these at the same time; divide both sides by -z:
We can divide the numerator by the negative sign; this gives us
The correct answer is 370. A system of equations can be used, where h represents the number of calories in a hamburger and f represents the number of calories in an order of fries. The equation 2 h plus 3 f equals 1,700 represents the fact that 2 hamburgers and 3 orders of fries contain a total of 1700 calories, and the equation h equals f plus 50 represents the fact that one hamburger contains 50 more calories than an order of fries. Substituting f plus 50 for h in 2 h plus 3 f equals 1,700 gives 2, parenthesis, f plus 50, close parenthesis, plus 3 f, equals 1,700. This equation can be solved as follows:
2 f plus 100 plus 3 f equals 1,700
5 f plus 100 equals 1,700
5 f equals 1,600
f equals 320
The number of calories in an order of fries is 320, so the number of calories in a hamburger is 50 more than 320, or 370.