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Laura weighed 130 lbs. in 1986 and weighed 175 lbs. in 2007. Express the given information in this problem as two-ordered pairs. (1986, 130 ) and ( 2007 175 ) At what rate is this person's weight increasing each year? Include units in your answer. Round your answer to the nearest hundredth. If this person's weight gain continues at this same rate, in what year will they weigh at least 200 lbs.?

User Pedro Arantes
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1 Answer

26 votes
26 votes

Laura weighed 130 lbs. in 1986 and weighed 175 lbs. in 2007. Express the given information in this problem as two-ordered pairs. (1986, 130 ) and ( 2007 175 ) At what rate is this person's weight increasing each year? Include units in your answer. Round your answer to the nearest hundredth. If this person's weight gain continues at this same rate, in what year will they weigh at least 200 lbs.?​

Part A

Find out the unit rate or slope of the linear equation

we have the points

(1986, 130 ) and ( 2007 175 )

m=(175-130)/(2007-1986)

m=45/21

m=2.14 lb per year

Part B

If this person's weight gain continues at this same rate, in what year will they weigh at least 200 lbs

step 1

Find the equation of the linear equation

y=mx+b

we have

m=2.14

point (1986,130)

substitute

130=2.14(1986)+b

solve for b

b=130-4,250.04

b=-4,120.04

therefore

y=2.14x-4,120.04

For y=200 lbs

substitute

200=2.14x-4,120.04

solve for x

2.14x=200+4,120.04

2.14x=4,320.04

x=2,019

therefore

the answer is

year 2019

User Lukr
by
2.8k points