Solution

Problem

The weather station at the University of Waterloo records information every day. The graph below shows the high temperature each day for one week.

A description of the graph follows.

A graph entitled Daily High Temperature. The horizontal axis is labelled Day and has seven consecutive days starting on Monday. The vertical axis is labelled Temperature (Degrees Celsius). There are horizontal lines marking temperatures of \(0\), \(5\), \(10\), \(15\), \(20\), and \(25\). There is a data point for each day as described below.

Monday: between \(15\) and \(20\), but slightly closer to \(15\).
Tuesday: at \(20\).
Wednesday: between \(5\) and \(10\), but very close to \(10\).
Thursday: between \(15\) and \(20\), but very close to \(15\).
Friday: between \(10\) and \(15\), but very close to \(15\).
Saturday: between \(20\) and \(25\), but slightly closer to \(25\).
Sunday: between \(15\) and \(20\), but slightly closer to \(20\).

Estimate the highest temperature recorded during this week.

Estimate lowest temperature recorded during this week.

Estimate the biggest change of temperature from one day to the next during this week.

Solution

The highest temperature occurs on Saturday. It is between \(20\) degrees and \(25\) degrees. It appears to be slightly closer to \(25\) degrees than \(20\) degrees, so we will estimate the temperature is \(23\) degrees.

The lowest temperature occurs on Wednesday. It is between \(5\) degrees and \(10\) degrees, but is very close to \(10\) degrees. We will estimate the temperature is \(9\) degrees.

We estimate the temperature on Monday to be \(17\) degrees, the temperature on Tuesday to be \(20\) degrees, the temperature on Thursday to be \(16\) degrees, the temperature on Friday to be \(14\) degrees, and the temperature on Sunday to be \(18\) degrees, along with the estimations in parts (a) and (b).
Thus, from Monday to Tuesday we estimate that it became \(20-17 = 3\) degrees warmer.
From Tuesday to Wednesday we estimate that it became \(20-9 = 11\) degrees colder.
From Wednesday to Thursday we estimate that it became \(16-9 = 7\) degrees warmer.
From Thursday to Friday we estimate that it became \(16-14 = 2\) degrees colder.
From Friday to Saturday we estimate that it became \(23-14 = 9\) degrees warmer.
From Saturday to Sunday we estimate that it became \(23-18 = 5\) degrees colder.
Therefore, we can estimate that the biggest change of temperature from one day to the next is \(11\) degrees between Tuesday and Wednesday.

Problem of the Week Problem A and Solution Tracking Temperatures

Problem

Solution

Problem of the Week
Problem A and Solution
Tracking Temperatures