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
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Every positive real number has TWO<span>square roots; One is positive and one is negative. They are opposites of each other. </span>
10 is a square root of 100 because (10)(10) = 100, and ̶ 10 is also a square root of 100 because ( ̶ 10)( ̶ 10) = 100.
In general, “a” is a square root of “b” if a² = b, where “a” is a real number and b ≥ 0.
In conclusion:
<span> √(100) = </span>10<span> (the </span>positive<span> square root of 100) </span>and<span> </span>
<span> ̶ √(100) = ̶ (10) = </span>̶ 10<span> (the </span>negative<span> square root of 100)</span>
Answer:
a circle with center at (h, k) or (3, -4) and radius 3
Step-by-step explanation:
Next time, please share the answer choices.
(x - 3)^2 + (y + 4)^2 = 9 = 3^2
is a circle with center at (h, k) or (3, -4) and radius 3.
Aurora Springs and Glendale are 48 miles apart. You would take how much one inch is and multiply it by 4 to get how much 4 inches is. so 12*4=48
Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
