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
50 sqft = 45 min
495 sqft = x min
495/50 is 9.9. So we know we multiplied 50 by 9.9 to change it to 495.
Do the same on the other side. 45 x 9.9 = 445.5.
It will take him 445.5 minutes, or 7.425 hours
The answer is D, good night
Answer:
28.2
Step-by-step explanation:
91 × 18 = 1638
1638 ÷ 58 = 28.2413793103
rounded to 1 significant figure = 28.2 as 4 rounds down
hope this helps
Well one dm= 10 cm
12-10= 2 cm
