To find the average rate at which the water level changed every week, we need to divide the total change in water level by the number of weeks.
The total change in water level is 1 1/2 inches.
The number of weeks is 1 2/3 weeks.
To convert 1 2/3 weeks to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (3), and add the numerator (2) to get 5. The new numerator is 5, and the denominator stays the same, 3. So, 1 2/3 as an improper fraction is 5/3.
Now, we can divide the total change in water level (1 1/2 inches) by the number of weeks (5/3).
1 1/2 ÷ 5/3 can be rewritten as (3/2) ÷ (5/3).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(3/2) ÷ (5/3) = (3/2) * (3/5)
Multiplying the numerators and denominators, we get 9/10.
Therefore, the average rate at which the water level changed every week is 9/10 inches per week.
The water level of a lake fell by 1 1/2
inches during a 1 2/3
-week-long dry spell. Find the average rate at which the water level changed every week.
1 answer