Equations of Proportional Relationships Quick Check
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Question
Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?(1 point)
Responses
125,000=7x
125,000 equals 7 x
x=125,0007
x equals Start Fraction 125,000 over 7 End Fraction
125,000=7x
125,000 equals Start Fraction 7 over x End Fraction
y=125,000×7
y equals 125,000 times 7
The equation that will help Jamal find out how much he will earn after 7 years is:
125,000 = 7x
This equation represents a proportional relationship between Jamal's earnings (125,000) and the number of years (x). By plugging in 7 for x, Jamal can calculate how much he will earn after 7 years.
The correct equation that will help Jamal find out how much he will earn if he continues at the same rate of pay for 7 years is:
125,000 = 7x
The correct equation that will help Jamal find the amount he will earn after 7 years is:
125,000 = 7x
To understand why this equation is correct, we can break it down:
- Jamal earns $125,000 a year as a systems analyst. This means that his earnings can be represented by the variable x.
- He wants to know how much he will earn if he continues at the same rate of pay for 7 years. To find this amount, we multiply his earnings per year (represented by x) by the number of years (7). This is why we have 7x in the equation.
- Finally, we equate his total earnings to $125,000, as given in the question. This is why we have the equation 125,000 = 7x.
So, the equation 125,000 = 7x will help Jamal find the amount he will earn after 7 years.