The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105
Answer:
42 cups of chips
Step-by-step explanation:
<u>We are given:</u>
The time-traveller has 79 books, but he can only take 5 books
since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter
Hence, we will use combination
<u>Finding the number of ways:</u>
Since we will use combination, ₇₉C₅
We know that the formula for combination is (n!) / (r!(n-r)!)
₇₉C₅ = 79! / 5!(74!)
₇₉C₅ = 22,537,515
Therefore, the time traveller can choose 5 books in 22,537,515 different ways
Answer:
The rate of change is 0.08 and the initial value is 24.
Step-by-step explanation:
1. You have the following formula:
2. It has the form of a equation of the line, which is:
Where 
is the slope, which gives the rate of change and 
is the y-intercept (The initial value, when 
)
3. Therefore, the rate of change of the given formula is:
4. And the initial value is:
