What number, when multiplied by 8, gives a product that is at least 25?

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To solve the problem of finding a number that, when multiplied by 8, results in a product of at least 25, we can set up the inequality:

8x ≥ 25

Here, x represents the unknown number we are trying to determine. To isolate x, we need to divide both sides of the inequality by 8:

x ≥ ⅖

This means that the smallest value for x that satisfies the condition is 2.5. In simpler terms, any number that is equal to or greater than 2.5, when multiplied by 8, will yield a product that is at least 25.

For example:

  • If x = 2.5:
    8 × 2.5 = 20 (which is not enough)
  • If x = 3:
    8 × 3 = 24 (still not enough)
  • If x = 3.5:
    8 × 3.5 = 28 (that works!)

In conclusion, the product of a number and 8 is at least 25 when that number is 3.125 or higher.

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