Agarden is a rectangle 100 feet long and 50 feet wide. the portion of the garden devoted to herbs is 10 feet by 10 feet. the rest of the area is for vegetables. how many square feet are given for growing vegetables?

Area for vegetable = 4900  square ft

Step-by-step explanation:

The garden is a rectangle . According to the question the length of the garden is 100 ft and the width is 50 ft.  The portion of area devoted to herb is 10 ft by 10 ft. That means the area devoted to herbs is a square. The area devoted for vegetable can be computed when one subtract area for herbs from the area of the garden.

Area of the rectangle garden = length × width

length = 100 ft

width = 50 ft

Area of the rectangle garden = 100 × 50

Area of the rectangle garden = 5000 square ft

Area devoted for herbs (square) = length²

length = 10 ft

Area devoted for herbs (square) = 10²

Area devoted for herbs (square) = 10 × 10

Area devoted for herbs (square) = 100 square ft

Area for vegetable = Area of garden - Area for herbs

Area for vegetable = 5000 - 100

Area for vegetable = 4900  square ft

The correct answer is c) f(x) = -4x+80.

We first find the rate of change, or slope, between points.  The two points we are given are
(5, 60) and (10, 40)

We find the slope using the formula
m = (y₂ - y₁)/(x₂ - x₁) = (40-60)/(10-5) = -20/5 = -4

Now we put this in point-slope form, which is
y-y₁ = m(x-x₁)
y-60 = -4(x-5)

Using the distributive property,
y-60 = -4*x --4*5
y-60 = -4x+20

Add 60 to both sides:
y-60+60 = -4x+20+60
y = -4x+80