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1 answer:
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Answer:
28 minutes
Step-by-step explanation:
we know that
1) A factory manufactures a metal piece in 32 minutes
2) New technology allowed the factory to cut that time by 8%
Remember that
In this part 32 minutes represent the 100%
To find out how long it take to manufacture the piece, multiply 32 minutes by the factor 0.92
3) Then another improvement cut the time by 5%
Remember that
In this part 29.44 minutes represent the 100%
To find out how long it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95
<u>The problem is as following:</u>
The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. What would be the cost for 5 of the gift cards? $80, $90, $100 Or $110
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<u>Solution</u>:
The points of the figure represents a straight line
The general form of the straight line is ⇒ y = mx + c
where m is the slope and c is constant
let x ⇒ The number of gifts cards , y ⇒ Total cost (in $)
we will find m and c using the points (1,20) , (2,40)
The slope = m =
∴ y = 20x + c
Substitute with the point (1,20) ⇒ y = 20 at x = 1
∴ 20 = 20 * 1 + c
∴ 20 = 20 + c
∴ c = 0
∴ The equation of the line ⇒⇒⇒ y = 20x
To find the cost for 5 of the gift cards substitute with x = 5
∴ y = 20 * 5 = 100
So, the cost for 5 of the gift cards = $100
<u>The correct answer is option 3 ⇒⇒⇒ $100</u>
