The equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20
From the equation of the linear function given y = mx + b
y indicates the profit earned and x represents the time in hours.
From the question,
After 3 hours, the popcorn stand earned a profit of $25.
∴ The equation becomes $25 = 3m + b ------ (1)
and after 6 hours, the profit was $70.
∴ The equation becomes $70 = 6m + b ------- (2)
Now, we will solve the two equations simultaneously
From the first equation
$25 = 3m + b
We can write that
b = $25 - 3m ------- (3)
Substitute this into the second equation
$70 = 6m + b
We get
$70 = 6m + ($25 - 3m)
$70 = 6m + $25 - 3m
$70 - $25 = 6m - 3m
$45 = 3m
∴ m = $45 ÷ 3
m = $15
Now, substitute the value of m into equation (3)
b = $25 - 3m
b = $25 - 3($15)
b = $25 - $45
b = -$20
∴ m = $15 and b = -$20
Putting these values into the equation y = mx + b we get
y = $15m +(- $20)
∴ y = $15m - $20
Hence, the equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20
Learn more here: brainly.com/question/19511111
Answer:
The change in the standard of living, measured by growth in real GDP per person, is 0.1356%
Step-by-step explanation:
Given,
In the current year,
Population = 31.5 million,
Real GDP = $814 million,
So, the real GDP per person = 
≈ 25.841
In the previous year,
Population = 31 million,
Real GDP = $800 million,
So, the real GDP per person = 
≈ 25.806
Hence, change percentage = 
≈ 0.1356 %
The distance between the windows is not given. I have searched for this question in other sources and came up with 6.5 ft.
6.5 ft = 78 inches
The width of the bookshelf = 77 inches
Hence the book shelf with fit between the windows and still there will be 78-77 = 1 inch of space remaining
Hence the right option is option C
In order to answer this problem, you need to remember the place – value chart since you don't want to convert the number to its standard form. The number "fifty million" has nine places. Enumerating from the left would be:
<span>- Ones - Tens - Hundreds - Thousands - Tens thousands - Hundreds thousands - Millions - T<span>ens millions</span></span>
