Question

41. WRITE a Real-Life Problem to fit the data shown in the GRAPH.

Answer 1

The graph is a straight line graph that has a y-intercept of -300 (0, -300),

and an x-intercept of 30, (30, 0).

• First Part: A Real-Life problem to fit the data is; Elevation of a diving bell from a 300 feet depth at a constant rate.

• Second Part: The domain of the function is continuous.

Reasons:

First Part;

A Real-life Problem to fit the data shown in the GRAPH is the elevation of a

diving bell from a depth of 300 feet below the surface of the water, at a

constant rate of 10 feet per second.

$\begin{array}{|cc|c|} \mathbf{Amount \ owed}&&\mathbf{Time \ (seconds)}\\-300&&0\\-250&&5\\-200&&10\\-150&&15\\-100&&20\\-50&&25\\0&&30\end{array}$

Second Part;

A discrete domain are values of input made up of only particular numbers

contained within an interval, continuous domain are input values that are

made up of all the numbers within an interval.

Given that the graph of the function is a continuous line, and not made up

of a series of dots and that the input value of time can take on any value,

within the domain from 0 to 30 seconds, the domain is a continuous

domain.

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