Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
1/2 = 2/4 because if you divide 2/4 by 2 you get 1/2.
If the length of the garden is 5 more than twice the width, then length = 2 X width + 5.
P = 70
L= 2W + 5
P = 2 X (L + W)
70 = 2 X ((2W+5) + W))
You can take the + 5 out at this point by multiplying it by the 2 outside the brackets (5 for each length)
70 - (2X5) = 2X ((2W) + W)
70 - 10 = 2 X (2W + W)
60 = 2 (3W)
60 = 2*3W
60 = 6W
10 = W
The width is 10.
So what's the length? 2W + 5
Length = 2 * 10 + 5
Length = 25.
Length is 25, width is 10.
Check: 70 = 2 (25 + 10)
70 = 2(35)
70 = 70
Correct!
16 cm^2. The area of a triangle is 1/2 x b x h, hence, 1/2 x 8 x 4= 16cm^2
