After 4 weeks, Macy and Robby will have same amount in their accounts.
Step-by-step explanation:
Given,
Amount saved by Macy each week = $12.50
Let,
x be the number of weeks.
M(x) = 12.50x
Amount saved by Robby each week = $7.50
Amount Robby already have = $20
R(x) = 7.50x + 20
For same amount;
M(x) = R(x)

Dividing both sides by 5

After 4 weeks, Macy and Robby will have same amount in their accounts.
Keywords: function, division
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Answer:
<em>The base fee is 5</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear function is widely used to model real situations in life where the dependancy of one variable are linear by nature.
The problem gives us three conditions, more than enough to find a linear model for the earnings for running errands. Let's make x the number of hours it takes to run the errands, and y the earnings. The linear model has the general equation

We have these points (1,20) (2,35) (3,50) and need to find the base fee, which is the value of b or the independant term of the equation.
We'll use the first two points to find the equation and the third point to verify it. Using (1,20)


Now we use (2,35)


Subtracting both equations

Replacing into the first equation

The equation is

Let's test the formula by replacing the point x=3

The model is accurate and the base fee is 5
Answer:
A. (6,0)
Step-by-step explanation:
4a- 5b = 24
Check each point to see if its is true
A. (6,0)
4(6) - 5(0) = 24
24 = 24
true
B. (-5, -2)
4(-5) -5(-2)= 24
-20 +10 = 24
-10 =24
False
C. (0,6)
4(0) -5(6) =24
-30 =24
False
D. (-2, -5)
4(-2) -5(-5)=24
-8+25=24
18=24
False
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000