Answer:
45
Step-by-step explanation:
The equation is in vertex form a(x-p)^2 + q, ergo giving us the highest point of the parabola, so q (in this case 45 is the highest point in meters, where p multiplied by (-1) is the time taken to reach that height
Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins:
...(i)
Total amount:
...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get




Divide both sides by 0.15.


Putting x=43 in (iii), we get


So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.