Answer :
Final answer:
To solve the problem, we first have to determine the relationship between x and y, which was determined to be directly proportional. Then we defined the equation of the relationship and solved it to find an approximate value of x when y = 24.
Explanation:
The given question relates to the concept of linear equations in Mathematics. Given that y=16 when x=7, we can presume that y and x relation form a direct variation. We get this by isolating x in terms of y:
- Calculate the constant of variation (k) by dividing y by x. So, k = 16 / 7 = approx 2.29
- So the equation relating x and y is y = k*x.
- Then, to find x when y is 24, you just solve the following equation: 24 = 2.29*x. You can solve this equation by dividing both sides of the equation by 2.29.
- The new value of x when y=24 is therefore x ≈ 24 / 2.29 = approx 10.48.
Please note that this solution assumes that x and y are directly proportional. If they are not, additional information would be required to solve the problem.
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