Question

jasper kept track of how long it took to finish his homework each day.
time jasper spent on homework
day minutes
monday 45
tuesday 38
wednesday 35
thursday 42
friday 36
according to the table, when was the rate of decrease greater?
between monday and tuesday
between thursday and friday

Explanation:

Step1: Calculate the rate of decrease between Monday and Tuesday

The formula for the rate of decrease is \(\frac{\text{Original Value}-\text{New Value}}{\text{Original Value}}\).
For Monday - Tuesday: Original value \(a = 45\), New value \(b=38\).
Rate of decrease \(r_1=\frac{45 - 38}{45}=\frac{7}{45}\approx0.156\)

Step2: Calculate the rate of decrease between Thursday and Friday

For Thursday - Friday: Original value \(a = 42\), New value \(b = 36\).
Rate of decrease \(r_2=\frac{42-36}{42}=\frac{6}{42}=\frac{1}{7}\approx0.143\)

Step3: Compare the two rates

Since \(0.156>0.143\) (i.e., \(\frac{7}{45}>\frac{1}{7}\))

Answer:

between Monday and Tuesday