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
So 1=6/8 minute
1=3/4 minute
multiply both sides by 4
4=3 minutes
3 times what=15
divide by 3
what=5
4=3 minutes
mulitpliy both sides by 5
20=15 minutes
answer is 20 bags
A set of points is collinear if the points lie on the same straight line.
From the given figure,
A) Z, J, and C are not collinear
B) H, B, and C are collinear
C) H, B, and K are not collinear
D) Z, K, and R are collinear
Answer: B and D
2^3z^9
A for question 1=8z^9
(-8ab)^2
(-8^2a^2b^2)
A for question 2=64a^2b^2
6 (x^3)^2
6 x^6
6x^6
Enjoy!=)
