Answer:
y= 704.5x - 409
Step-by-step explanation:
Complete question is : . Complete the equation for the relationship between the altitude and number of hours.
SOLUTION
By plotting altitude on y-axis and time or duration of travel on x-axis of the graph, we will have the the location of Nour at t = 0 will be represented by (0, -409)
when t = 2 hours location points will be at (2, 1000).
As you know, at a constant rate her altitude is increasing , we will have a linear graph with equation y = mx + b --> eq(1)
Slope of the line is given by:
m= (y-y') / (x-x') => (1000+409)/(2-0)
m= 704.5
y-intercept 'b' is -409
Therefore, the eq(1) will become
(1)=> y= 704.5x - 409
Where, 'y' represents Nour's altitude(in meters) relative to sea level after 'x' hours
Answer:
The width of the frame is equal to 
Step-by-step explanation:
Let
x-------> the width of the frame picture
we know that
Simplify
The formula to solve a quadratic equation of the form 
is equal to
in this problem we have
so
substitute in the formula
----> this solution is not logic
The width of the frame is equal to
Answer:
the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Step-by-step explanation:
the total cost of making the muffins is
Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q
where Q = number of muffins
the average cost is
Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin
then for Average cost= $0.25/muffin
$300/Q + $0.12 / muffin = $0.25/muffin
Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)
then the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Answer: 73.5
Step-by-step explanation:
The percent <em>33 1/3% </em>represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
