Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model
1 answer:
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We know that
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.
In this problem, the ordered pair is
so
the x-coordinate is equal to
the y-coordinate is equal to
therefore
Rule N 1
The y-value is times the x-value
Rule N 2
The y-value is greater than the x-value
Both are possible because their solutions include the ordered pair listed
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.
In this problem, the ordered pair is
so
the x-coordinate is equal to
the y-coordinate is equal to
therefore
Rule N 1
The y-value is
Rule N 2
The y-value is
Both are possible because their solutions include the ordered pair listed
Question:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $20.70? How much was the tip?
Answer:
Price of meal = $18
Tip price = $2.70
Step-by-step explanation:
Let the price of the meal be <em>y</em>;
Let the tip be <em>t</em>
<em></em>
<em>From the question;</em>
15% of <em>y </em>is the tip charge (<em>t</em>). i.e
t = 15%y
=> t = 0.15y --------(i)
<em>The total amount charged is $20.70 (This means that the sum of the price of the meal and the tip is $20.70)</em>
=> y + t = 20.70 [substitute the value of t=0.15y from equation (i)]
=> y + 0.15y = 20.70
=> 1.15y = 20.70
=> y =
=> y = $18
Therefore the price of the meal, y, is $18.
From equation (i),
t = 0.15y [substitute the value of y = $18]
t = 0.15(18)
t = $2.70
Therefore the tip was $2.70
Answer: $10.33
Step-by-step explanation:
Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.
Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.
Let r = Julio's hourly rate
if he worked over 30 hours in a week, then hourly rate = 1.2r
According to the question
Hence, his hourly rate = $10.33