Math Problem Statement

Write down the words you see in the photo

Solution

Certainly, here is the text from the photo:


Level 2 Graphs Learning Workbook 33

  1. A river level rises rapidly during a flood which started at noon on Monday 5 March. The initial depth of the river was 3.2 m. The maximum depth of the river was 4 m, which occurred at noon, 1 day later. By day 3, the depth had dropped to 3 m. The graph of the depth of the river is shown.

Part of this graph is to be modelled by a hyperbola of the form d=atb+cd = \frac{a}{t - b} + c where dd is the depth in metres and tt is the time in days since the rain started.

a. Write down the equation of the hyperbola which could be used to model the depth of the river after it had been raining for 3 days. Round aa and bb to the nearest integer.


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Math Problem Analysis

Mathematical Concepts

Graphs
Hyperbola
Equations

Formulas

Hyperbola equation \( d = \frac{a}{t - b} + c \)

Theorems

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Suitable Grade Level

Grades 9-12