Question

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 282 square meters left to paint. Let y represent the area (in square meters) left to paint after xxx hours. Which of the following information about the graph of the relationship is given

Answer 1

Answer:

y = 52 - 8x

Step-by-step explanation:

Answer 2

Hiro's painting of the room at a constant rate implies that the scenario can be represented using linear equation.

The information that can be deduced from the graph relationships are:

• The total area of the room is 306 square meters
• The area painted after 3 hours is 24 square meters

• The area to be painted at time t is $y = 306 - 8x$

Given that:

$Time = 3hrs$

$Rate = 8m^2/hr$

Represent the area to be painted with y.

The area Hiro has painted up to after 3 hours is:

$y_1 = Time *Rate$

$y_1 = 3 * 8$

$y_1 = 24$

Also, given that:

$y_2 = 282$ --- the areas yet to be painted.

This means that the total area is:

$Total = y_1 + y_2$

$Total = 24+282$

$Total = 306$

Next is to calculate the area yet to be painted at time t.

This is calculated as:

y(t) = Total Area - Rate * t

i.e.

$y = Total - Rate * x$

So, we have:

$y = 306 - 8* x$

$y= 306 - 8x$

So, the correct information about the graph are:

• The total area is 306 square meters
• The area painted after 3 hours is 24 square meters

• The area to be painted at time t is $y= 306 - 8x$

Also, see attachment for graph

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