Final answer:
The value of y when x is 88 is 16, which is found by first calculating the proportionality constant k as 2 / 11 from the given values and then using it to determine y for the new value of x.
Step-by-step explanation:
The question presents a scenario where the value of y is directly proportional to the value of x. This means that as x increases, y increases by a constant factor and vice versa. When x = 110, we are given that y = 20. To find the value of y when x = 88, we use the proportionality constant (k) which is found by dividing y by x from the given values: k = y / x or k = 20 / 110.
Once we find k, we can then use it to calculate the new value of y for the new value of x:
- Calculate k: k = 20 / 110 = 2 / 11.
- Use k to find y when x = 88: y = k * x = (2 / 11) * 88.
- Simplify to find y: y = 2 * 8 = 16.
Therefore, the value of y when x = 88 is 16.