Yes; when the height is doubled, the area is also doubled (option D)
Step-by-step explanation:
width of the billboard = 44 ft
height of the billboard = 20 ft
the rent per square ft = $15
for a billboard twice as tall, the advertiser has to pay $26,400
We need to find the area of the billboard = width × height
Area = 44 × 20
Area of the billboard = 880 ft²
The rent for the whole area of the billboard = $15 × 880
The rent for the whole area of the billboard = $13,200
when the height is doubled = 2(height)
new height = 2(20) = 40 ft
The new area = 44 × 40 = 1760 ft²
The rent for the new area of the billboard = $15 × 1760
The rent for the new area of the billboard = $26400
The result in our calculation is the same as the amount the advertiser payed.
new height = 2(old height)
new area = 2(old area)
26400 = 2(13200)
We can conclude: it is reasonable
Yes; when the height is doubled, the area is also doubled (option D)