If you know that a relationship is proportional and are given one ordered pair other than (0,0), how can you find another pair?
1 answer:
You might be interested in
Answer:
4. 8.8 years
5. 8.6 meters
Step-by-step explanation:
4. The process of solving the equation f(x) = g(x) gives rise to a 4th-degree equation. Those are best solved using some sort of machine solver. A graphing calculator is often a good place to start. If you're going to do that anyway, you may as well start with a graphical solution to the question.
A plot of the two curves finds they intersect at about x = 8.8. (See the first attachment.) This avoids the extraneous solutions introduced by the process of eliminating the radical.
___
5. Analytical solution is simpler here, but the graphing calculator is faster yet. It shows the two rocks are at the same height at 8.6 meters (if they're launched at the same time).
... f(x) = g(x)
... -4.9x^2 +17 = -4.9x^2 +13x
... 17 = 13x . . . . . add 4.9x^2
... 17/13 = x . . . . time when rocks meet
... f(17/13) = -4.9(17/13)^2 +17 = -1416.1/169 +17 ≈ 8.62071
... f(17/13) ≈ 8.6 . . . . height at which rocks meet
Answer:
Initial value for Mrs. White is $600 more than Mrs. Brown.
The rate of change is same for both.
Step-by-step explanation:
Cost of car purchased by Mrs. White = $3,000
Rate at which she pays for the car = $300 per month
Cost of car purchased by Mrs. Brown = $2,400
Rate at which she pays for the car = $300 per month
So,
Initial value for Mrs. White was =$3,000
Initial values for Mrs. Brown was =$2,400
difference in initial values =$600
∴ Initial value for Mrs. White is $600 more than Mrs. Brown.
Rate of change of payment due for Mrs. White = $300 per month
Rate of change for payment due for Mrs. Brown = $300 per month
∴ The rate of change is same for both.
Since Mrs White had a higher initial value than Mrs Brown and both having same rates of change, therefore Mrs. White will take a longer time to pay the due.