In this question, we're trying to find how much Paul will pay per month in premiums.
We know that the plan costs $7,710 for a year
In order to find his premium cost per month, we need to get the total price for the year and divide it by 12, since there are 12 months in a year.
Solve:
7,710 ÷ 12 = 642.50
This means that he'll pay $642.50 a month.
Answer:
$642.50
3x + 5y = 1 . . . . . . . . (1)
7x + 4y = -13 . . . . . . .(2)
(1) x 7: 21x + 35y = 7 . . (3)
(2) x 3: 21x + 12y = -39 .(4)
(3) - (4) = 23y = 46
y = 46/23 = 2
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist.
The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form).
The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.
