If the crew members used 3 gal of paint per hour and bought 30 gal of paint for a job, then they will work 30:3=10 hours.
- They start at x=0 hours with y=30 gal of paint;
- They end at x=10 hours with y=0 gal of paint (they worked until they used all the paint).
- The dependence between x and y is linear.
Conclusion: the only possible sketch is A.
Answer: correct choice is A.
The area of the considered triangle RST is given by: Option A: 9 sq. units.
<h3>How to find the area of a triangle?</h3>
If we have:
- Length of its base = b units
- Its height = h units long,
Then we get:
Area of a triangle =
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST =
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
Learn more about area of a triangle here:
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