Question

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.

Answer 1

Ответ:

Пошаговое объяснение:

s = 1.1/2 = 0.55

t = 1.2/3 = 0.4

v = s/t = 0.55/0.4 = 1,375

Answer 2

To find the average rate at which the water level changed every week, we can use the formula for average rate of change:

Average Rate of Change = (Change in Quantity) / (Change in Time)

In this case, the "Change in Quantity" is the change in water level, which is 1.5/2 inches (1.1/2 inches), and the "Change in Time" is the duration of the dry spell, which is 1.2/3 weeks.

Let's calculate it step by step:

Change in Quantity = 1.5/2 inches (or 3/4 inches) Change in Time = 1.2/3 weeks (or 2/3 weeks)

Average Rate of Change = (Change in Quantity) / (Change in Time) Average Rate of Change = (3/4 inches) / (2/3 weeks)

To divide fractions, you multiply by the reciprocal of the second fraction:

Average Rate of Change = (3/4 inches) * (3/2 weeks) Average Rate of Change = (9/8) square inches per week

So, the average rate at which the water level changed every week is 9/8 square inches per week.