Question

Question

How would you write a real-world problem that models the following equation: 0.08x=0.06x+140?(1 point)
Responses

On one specific item, 6% sales tax plus 8% sales tax on the same item adds to $140.
On one specific item, 6% sales tax plus 8% sales tax on the same item adds to $140.

In a sports league, 6% of the players times 8% of the players in the same league equals 140.
In a sports league, 6% of the players times 8% of the players in the same league equals 140.

For a certain sum, 8% equals $140.06.
For a certain sum, 8% equals $140.06.

A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.

How would you write a real-world problem that models the following equation: −x+40=x?(1 point)
Responses

Marsha is below sea level. To get as far above sea level as she is below, she would have to move to a location 40 feet higher.
Marsha is below sea level. To get as far above sea level as she is below, she would have to move to a location 40 feet higher.

The number of days that the temperature has been below zero is 40 fewer than the number of days the temperature has been above zero.
The number of days that the temperature has been below zero is 40 fewer than the number of days the temperature has been above zero.

The amount of money a stock lost in the stock market was $40 more than it gained.
The amount of money a stock lost in the stock market was $40 more than it gained.

If Alex gained as much money as she lost, she would have 40 dollars.

Answer 1

For the first equation (0.08x = 0.06x + 140):

A good real-world problem that models this equation would be:

“A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.”

This scenario effectively captures the relationship stated in the equation, as it compares two different interest rates applied to the same principal amount.

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For the second equation (−x + 40 = x):

A suitable real-world problem that models this equation would be:

“Marsha is below sea level. To get as far above sea level as she is below, she would have to move to a location 40 feet higher.”

This problem illustrates the balance between how far Marsha is below sea level (represented by -x) and how far she needs to go above sea level to equal that distance (x), while also incorporating the 40 feet.