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Childhood growth For children between ages 6 and 10 height $y$ (in inches) is frequently a linear function of age $t$ (in years). The height of a certain child is 48 inches at age 6 and 50.5 inches at age 7 (a) Express $y$ as a function of $t$ (b) Sketch the line in part (a), and interpret the slope. (c) Predict the height of the child at age $10 .$

Discussion consist of three parts. We will start with party in this part we have to express by a function of T. Now let the height of the Children be by increased And then the age of the Children. 50 years. The height of varieties. 48" at the age of six and 50.5 at the age of salmon. No let even well I'm vibrant equals to six comma 48. You do former by two equals two 7:00 50.5. Now we can express via the function of T. S by minus By one Equal School. The -51 divided by 2 to- Stephen Multiplied by 2- Bible. Now we will substitute the value By -48 equals two T -6, divided by 7 -6, multiplied by 15.5 -48. All solving this project by 2.5 ft. Let's take it. Yeah mm. Now we will do part B in this part. We have to scratch the line in party and interpret this law. So here is a graph. This is our acceptance. This is our varieties. Mhm. And this line represents by equals two 2.5 D plus 33 and the slope of the line is 2.5. Now we will do part C In this part. We have to predict the height of this child at the age of 10. The height of the child at the age of 10 can be fined by substituting peoples to 10 in the function by equals two 0.5 ft. First started. Yeah. We will substitute then invasive species. 2.5 multiplied by 10 plus 33 on solving this bigger 58 inches. Thank you.

Discussion consists of three parts. We will start with party in this part we have to express y as a function of T. No like the height of the Children, we've scientists and let the age of the Children with the ears. The height of a child is 48 inches at the age of six and 50.5 inches at the age of seven. Now let even for my wife when he was two six comma 48. Do you to form a. V. Two equals two sale in goMA 50.5. Now we can express Y as a function of ps by minus five when you're close to D. Minor Stephen divided by, do you wanna Stephen multiplied by by two minus five months. Now we will substitute the values by minus 48 equals two t minus six, divided by seven minus six. Multiplied by 50.5 minus 48. On solving this bigot by equal stood 2.5 D plus 33. Now we will do part B. In this part, we have to sketch the line in party and interpret this law. So here is a graph of the function by equals two 2.5 D plus 33. The slope of this line is 2.5. Now we will do part C in this part. We have to predict the height of the child at age of 10. Now the height of a child at the age of 10 can be fined by substituting P equals to 10 in the function Y equals two. He was planning the function by about 22.5 D. Last 33 2.5 times 10 plus 33 on solving this bigger to create interest. Thank you.

Hello. Students don't have every discuss about child on credit for Children between ages six years and 10 years. How do I? Meninges is frequently a linear function of H. T. In years. The height of a certain guarantees. 40 18 days at 8 6 years. 50.5 engines at age seven years. We have no express why are the function of me? We have scanned the line incarnate and interpret the flow. We have one so to predict the height of the child at 8. 10 years from now we start to do one circle first. Eh Well good note hike of the Children. White inches. Mhm. And the angel both done so every time 18 years and the act. Mhm. Yeah. Yeah. He won. Why run? You do? Yeah. Is you can no sex 48. Thank you. He too. I want to did you go to seven 15 point but. Okay. It's rooms. Mhm. The constitution. Yeah. Okay. How mean family? Yeah. Express why as a function us. E. Okay. It's remains yeah by minus by one is equal b minus. You want to already you know minus. Cool. They do my nurse a what into wine? To my nuts. Why? What? Okay. So programs I'm from the maniac Buying -48. Mhm. If you can do yeah. Being my mistakes upon seven minus states and don't 15.5 again. Mhm. Okay. So what I miss now, why is he gonna do? Who fired? Fired me minus 15. Nice 48. Further be that. Mhm. Why is they recruit who playing playing E. Yes For me three this is the required function. Okay. Mhm. Now our answer for me is. Mhm. Yeah the trough right of this. Yeah. Yeah function yeah. Is as photos. Okay student you can see the graph on the scale. This is there. Yeah. Mm. Okay that's no okay of this. Nine enemies buh bye and replaced. Okay. So right now need, yeah, Iran's before sleep. Yeah, we can flying the yeah, height mhm of the okay. Yeah, shine. Yeah. After and and bye especially complained. Yeah. Yeah. T is equal to 10 and the function. Yeah. Okay. Yeah. Mhm MR variants. Nobody there. Why is it turtle? Yeah. Oh 0.5. We must 33. Okay. 2.5- 10. Last 33. Mhm. 35 plus 33. Okay. 58 engines. This is the height of the child and H 10. Okay. So thank you so much.

Fellow students. Today, we will discuss about childhood growth. We have some debt. We have some data in this respect. Six years joan I think. Hi. 48 in juice. Okay so rinse seven years child. I'd 50 point five inches. 30 years child height. Why inches? Okay, so rinse now living express why as a function. Uh E okay runs let I. Yeah is why inches and age is do yes. Okay strands. No, he won. Why one physical too? 6 48. Day two. Why two physical too? Yeah. 7 50.5. Okay. Student. Now we express why as a function thanks of P. O. Case runs. Mhm. Why- Why one physical too? D minus Do you run upon B two minus he won. Mhm. Okay. Students Into Y two whatever are we got? Why -48 Physical too? The minus six up on seven minus six into 50.5 minus 48. Yeah. Of the instruments. Now we get, why is he control? 2.5 he yeah minus 15 plus 48. Okay students. And now we get y is equal to 2.5 D plus 33. This is the why as a function of Okay. Okay so runs mhm. Oh revenue. It's you know. All right. He does graph of this function is as follows. Okay, students. And this is the graph for this function. Yeah. Okay. So rinse and the slope that's low of this line is 2.5. Okay, students always flying the height of a child. Yeah. Of 10 years. H bye. Substituting T. Is equal to turn in the function we get. Why is he going to do 2.5 P plus 33 physical toll. 2.5 into 10 plus 33 Physical. 25 plus 33 physical too. 58 inches. Okay. Students. And the height of the child is 58 At the age of 10. Okay, thank you. So


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