question archive Lao is following a weight gain program
Lao is following a weight gain program
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Lao is following a weight gain program. His weight is y and the number of months on the program is x.
| Months, x | 12 | 24 | 48 |
| Weight in pounds | 158 | 161 | 167 |
a. (4 pts) Use the points (12, 158) and (48, 167) to find a linear model that will predict Lao's weight. Please reduce any fractions in your answer.
b. (2 pts) Use your linear model to predict when Lao will reach 190 pounds. Round your answer to the nearest tenth of a month.
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Step-by-step explanation
a we know that line. passing through (, f,), (2,tz) is 2 2 - 2 , ( Here ( niti ) = ( 12 , 158 ) , ( 2 2 , 72 ) = ( 48, 167 ) 4 - 158 - 167- 158 (2-12) 48 - 12 2 7 - 158 - -2 36 - (2 - 12 ) 4 - 158 = 4 (x-12) 4 4 - 632 - 2 - 12 yy - 2 = 6 32 - 12 2) by - 2 = 620 , which is the required lineon model. when y = 190 then 4 x 190 - 2 2 6 2 0 7 2 = 760 - 620 9 2 21 40 : Lao will reach 190 pounds in 1410 months
