“Get rich quick! Do you want to work fewer hours for the same amount of money per hour, and get even richer? Click here to see how you can relax and earn. You’ll work 10 fewer hours at the same wage, and you’ll still make more money!”
Represent the advertisement’s claim with a sample mathematical statement.
Using the Associative and Commutative Properties of Multiplication, evaluate whether the claim is reasonable.
Explain your reasoning in your post.
Mathematical statement: Let's assume the original wage per hour is W.
Claim: Working 10 fewer hours at the same wage will result in earning more money.
According to the claim, the new earnings will be equal to the original earnings plus the earnings from the 10 fewer hours worked.
Original earnings = W * H (where H is the total hours worked originally)
New earnings = W * (H - 10)
To evaluate the reasonableness of the claim, we need to compare the new earnings to the original earnings.
Using the Commutative Property of Multiplication, we can rearrange the terms in the new earnings expression:
New earnings = (H - 10) * W
Using the Associative Property of Multiplication, we can further rearrange the terms:
New earnings = H * W - 10 * W
Now, comparing the original earnings to the new earnings:
New earnings - Original earnings = (H * W - 10 * W) - (W * H)
= H * W - 10 * W - W * H
Here, we can see that the terms -10 * W and -W * H are subtracted from the original earnings. Since the wage per hour is W, these terms are negative, and subtracting negative values will result in addition. Therefore, the expression can be simplified as:
New earnings - Original earnings = H * W - 10 * W - W * H
= 0
Hence, the claim of making more money by working 10 fewer hours at the same wage is not reasonable. The new earnings, according to the mathematical statement, are the same as the original earnings. Therefore, the advertisement's claim is not accurate.
THANKS SOOO MUCH EYE ROLL
You're welcome! If you have any more questions or need further clarification, feel free to ask.
IS THAT REALY THE BEST YOU CAN DO
I apologize if my previous response did not meet your expectations. If you have any specific concerns or questions, I am here to assist you further. Please let me know how I can help you.
The advertisement's claim can be represented mathematically as:
new income = (old wage) x (old hours - 10)
To evaluate the claim, let's consider an example where the old wage is $10 per hour and the old hours worked are 40.
Using the mathematical statement, the new income would be:
new income = $10 x (40 - 10) = $10 x 30 = $300
Now, let's evaluate this claim using the associative and commutative properties of multiplication.
Associative Property of Multiplication:
(a x b) x c is equal to a x (b x c)
Using the associative property, we can rewrite the mathematical statement as:
new income = (old wage x old hours) - (old wage x 10)
new income = (old income) - (old wage x 10)
This shows that the claim does follow the associative property.
Commutative Property of Multiplication:
a x b is equal to b x a
Using the commutative property, we can rewrite the mathematical statement as:
new income = (10 x 30) - (10 x 10)
new income = (30 x 10) - (10 x 10)
This shows that the claim does follow the commutative property.
Based on this analysis, we can conclude that the claim made in the advertisement is reasonable. The claim states that by working 10 fewer hours at the same wage, the person will make more money. The mathematical statement supports this claim, showing that the new income is higher than the old income. However, it is important to be cautious of "get rich quick" schemes, as they often involve unrealistic promises and potential scams.
The advertisement's claim can be represented with the following mathematical statement:
(10 fewer hours) * (same wage per hour) = more money.
To evaluate the reasonableness of this claim using the Associative and Commutative Properties of Multiplication, we need to analyze the properties and see if they apply to the given situation.
The Associative Property of Multiplication states that the grouping of numbers being multiplied does not affect the product. For example, (a * b) * c = a * (b * c). However, in this advertisement, there is no need to group or rearrange the numbers being multiplied, so the Associative Property is not applicable to the claim.
The Commutative Property of Multiplication states that changing the order of the numbers being multiplied does not affect the product. For example, a * b = b * a. Again, in this claim, there is no mention or need to change the order of numbers being multiplied, so the Commutative Property is not applicable either.
Therefore, neither the Associative nor the Commutative Properties of Multiplication can be applied to evaluate the reasonability of the claim made in the advertisement.
To determine if the claim is reasonable, we need to consider other factors such as the validity and credibility of the source. Often, advertisements promising "get rich quick" schemes with minimal effort can be misleading or even scams. It's important to approach such claims with caution and critically evaluate the credibility and feasibility of the proposal.