Simply divide 315 by 22.5
315 ÷ 22.5 = 14 minutes! :)
The table of the tolls for Henderson is the direct variation since the cost is proportional to the miles traveled.
Answer:
<u>The dimensions of the real store are 80 times bigger as per scale:</u>
- 1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft
- 2.25 in * 80 = 180 in = 180/12 ft = 15 ft
<u>The area of the real store:</u>
- 150 in * 180 in = 27000 in²
- 12.5 ft * 15 ft = 187.5 ft²
X = E/W dimension
<span>y = N/S dimension </span>
<span>4x + 4x + 2y + 2y = 64 </span>
<span>8x + 4y = 64 </span>
<span>4y = 64 - 8x </span>
<span>y = 16 - 2x </span>
<span>Area = xy = x(16 - 2x) = 16x - 2x^2 </span>
<span>Maximum of y = ax^2 + bx + c is when x = -b / 2a </span>
<span>so x = -16 / -4 = 4 </span>