Answer:
Option B) 60 is half the sum of a number and 40.
Option D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
Step-by-step explanation:
we have the equation
[tex]\frac{1}{2}(x+40)=60[/tex]
Verify each case
case A) 40 more than 50% of a number is 60.
Let
x -----> the number
The situation is
[tex]\frac{1}{2}x+40=60[/tex]
therefore
The situation cannot be represented with the given equation
case B) 60 is half the sum of a number and 40
Let
x -----> the number
The situation is
[tex]60=\frac{1}{2}(x+40)[/tex]
Rewrite
[tex]\frac{1}{2}(x+40)=60[/tex]
therefore
The situation can be represented with the given equation
case C) A test is worth 100 points. Each question, x, is worth 1/2 a point
Let
x -----> the number of questions
The situation is
[tex]\frac{1}{2}(x)=100[/tex]
therefore
The situation cannot be represented with the given equation
case D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
Let
x -----> the cost of a jacket
The situation is
[tex]\frac{1}{2}(x+40)=60[/tex]
therefore
The situation can be represented with the given equation
Answer:
Answer:
Option B) 60 is half the sum of a number and 40.
Option D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
Step-by-step explanation:
we have the equation
Verify each case
case A) 40 more than 50% of a number is 60.
Let
x -----> the number
The situation is
therefore
The situation cannot be represented with the given equation
case B) 60 is half the sum of a number and 40
Let
x -----> the number
The situation is
Rewrite
therefore
The situation can be represented with the given equation
case C) A test is worth 100 points. Each question, x, is worth 1/2 a point
Let
x -----> the number of questions
The situation is
therefore
The situation cannot be represented with the given equation
case D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
Let
x -----> the cost of a jacket
The situation is
therefore
The situation can be represented with the given equation
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Step-by-step explanation:
