Question

due: thursday, 1/16

1. it took 75 minutes to prepare an apple pie. a cooking website estimated it would be less than that. if the error was 16%, what was the websites estimate?
2. on wednesday, the high was 70 degrees fahrenheit. on thursday, the high was 13% more. how much did the high increase from wednesday to thursday?
3. a smartwatch keeps track of the number of steps taken and the distance traveled. based on the information in the table, is there a proportional relationship between the two quantities? explain your reasoning.

number of steps	distance in kilometers
3,520	4
5,456	6.2

Explanation:

Step1: Calculate website's estimate (Q1)

First, find 16% of 75, then subtract from 75.
$\text{Error amount} = 75 \times 0.16 = 12$
$\text{Estimate} = 75 - 12 = 63$

Step2: Calculate temp increase (Q2)

Find 13% of 70 degrees.
$\text{Increase} = 70 \times 0.13 = 9.1$

Step3: Check proportionality (Q4)

Calculate steps per km for each pair.
$\frac{880}{1} = 880$
$\frac{3520}{4} = 880$
$\frac{5456}{6.2} = 880$
All ratios are equal, so proportional.

Answer:

1. 63 minutes
2. 9.1 degrees Fahrenheit
3. Yes, there is a proportional relationship. The ratio of number of steps to distance in kilometers is a constant 880 steps per kilometer for all pairs of values, which meets the requirement for a proportional relationship.