Answer: Choice A) at most 2.5 ft wide
Work Shown:
16w ≤ 40
w ≤ 40/16
w ≤ 2.5
This says that the banner must be at most 2.5 ft wide (choice A)
In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.
Plug 1 in for x to get 7y=3(1)-7
7y=-4
y=-4/7
We have that The height changing rate when the length of the base is 2 cm

From the question we are told
The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?
Generally the Pythagoras equation for the triangle is mathematically given
as

With r=3
Therefore
dx/dt=8cm/s
Hence

We have

Therefore
The height changing rate when the length of the base is 2 cm

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12y - 7x = 5......(1 , ?)....when x = 1....so we sub 1 in for x
12y - 7(1) = 5
12y - 7 = 5
12y = 5 + 7
12y = 12
y = 12/12
y = 1........so ur y value is 1....and ur ordered pair is (1,1) <==