Ms. perry bought a plant and is tracking the height of the plant each week. if y represents the height of the plant, in inches, x weeks after she bought the plant, which of the following situations is represented by the table below?

time (weeks) 2 4 6 8
height of plant (inches) 10 15 20 25

When Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

Step-by-step explanation:

The rate of change, or slope, represents the rate at which the height of the plant increased per week.

Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.

y2 - y1 = 15 inches-10 inches

x2 - x1     4 weeks-2 weeks

             2.5 inches/1 week or 2.5 inches per week

So, the rate of change is 2.5 inches per week.

Now, find the y-intercept, b, by using the equation y = mx + b, where m is the slope of the line represented by the given table of values and (x , y) is any point on the line.

Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.

y=mx+b

10=2.5 (2) + b

5=b or b=5

So, the initial height of the plant was 5 inches.

Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

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total value of u.k. shipments for

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cd sales totaled 10.7 million units

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sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation: