The quotient of y and 9 is at most - 30
y / 9 ≤ - 30
Multiply both sides by 9
y ≤ 270
To find the maximum value for the quotient of y and 9, we can set up an inequality:
y/9 ≤ -30
To isolate y, we multiply both sides of the inequality by 9:
y ≤ -30 * 9
Simplifying the right side:
y ≤ -270
So, the value of y is at most -270.
To find the answer, we need to understand what "the quotient of y and 9" means.
The quotient is the result of dividing one number by another. In this case, we are dividing y by 9. So, the quotient of y and 9 can be written as y/9.
The phrase "at most" means the maximum value or the largest possible value. So, we are looking for the largest possible value of y/9.
To find this value, we set up an inequality:
y/9 ≤ -30
To solve this inequality, we can multiply both sides by 9 to isolate y:
9 * (y/9) ≤ -30 * 9
Simplifying the inequality, we get:
y ≤ -270
Therefore, the quotient of y and 9 is at most -270.
My typo.
y ≤ - 270