Video transcript- [Instructor] We're told Fara watched two different TV shows last week. TV show A has 11-minute episodes, and TV show B has 43-minute episodes. Together, she spent 196 minutes watching TV shows. Which equation models this relationship, where lowercase a is the number of TV show A episodes and lowercase b is the number of TV show B episodes Fara watched? So pause this video and have a go at it on your own before we work through this together. All right, now, let's do this together. So we know that together, she spent 196 minutes watching TV shows. So what we wanna do is total the amount of time she spent watching TV show A, the amount of time she spent watching TV show B, and then that should be equal to 196. And so, actually, let me just do TV show A in this orange color. How much time did she spend watching TV show A? Well, we know that each episode of TV show A is 11 minutes. So it's going to be 11 minutes times the number of episodes. And they said that lowercase a is the number of TV show A episodes. So this right over here, 11a, is how much time she spent watching TV show A. And what about TV show B? Well, each episode is 43 minutes. So it's going to be 43 minutes per episode. And how many episodes are there of TV show B? Well, it's lowercase b is the number of TV show B episodes. So 43 minutes per episode times lowercase b episodes, that's how much time she spent watching TV show B. So if you add the amount of time she watched TV show A to the amount of time she spent watching TV show B, that will be her total time, and we know that that needs to be equal to 196. And so let's see which of these choices have it. That's not that one. Let's see, this one is it, exactly what we got. This is different, and this is different. And we're done. Show
Exercise 1Three pounds of squid can be purchased at the market for  The best Maths tutors available 4.9 (36 reviews) 1st lesson free! 4.9 (30 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (32 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (22 reviews) 1st lesson free! 5 (17 reviews) 1st lesson free! 4.9 (8 reviews) 1st lesson free! 4.9 (36 reviews) 1st lesson free! 4.9 (30 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (32 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (22 reviews) 1st lesson free! 5 (17 reviews) 1st lesson free! 4.9 (8 reviews) 1st lesson free! Let's go Exercise 2It has been observed that a particular plant's growth is directly proportional to time. It measured Exercise 3A car rental charge is Exercise 4When digging into the earth, the temperature rises according to the following linear equation: t is the increase in temperature in degrees and h is the depth in meters. Calculate: 1. What the temperature will be at 2.Based on this equation, at what depth would there be a temperature of Exercise 5The pollution level in the centre of a city at 1.The equation that relates y with t. 2. The pollution level at 4 o'clock in the afternoon. Exercise 6A faucet dripping at a constant rate fills a test tube with Exercise 7For the function 1. Determine the coefficients that satisfy the equation: 2. Write the equation and represent it graphically: 3. Indicate the intervals where the function has a positive and negative value. Solution of exercise 1Three pounds of squid can be purchased at the market for Since it is a directly proportional question hence,
Solution of exercise 2It has been observed that a particular plant's growth is directly proportional to time. It measured Initial height = Weekly growth =
Solution of exercise 3A car rental charge is
Solution of exercise 4When digging into the earth, the temperature rises according to the following linear equation: t is the increase in temperature in degrees and h is the depth in meters. Calculate: 1. What the temperature will be at 2.Based on this equation, at what depth would there be a temperature of Solution of exercise 5The pollution level in the centre of a city at 1.The equation that relates y with t.
2. The pollution level at 4 o'clock in the afternoon. 10 hours have elapsed between 6 in the morning to four in the afternoon. Solution of exercise 6A faucet dripping at a constant rate fills a test tube with
Solution of exercise 7For the function 1. Determine the coefficients that satisfy the equation: 2. Write the equation and represent it graphically:
3. Indicate the intervals where the function has a positive and negative value.
How do you solve a word problem involving a linear function?We also learned the steps for solving this, which are as follows:. Step 1: Substitute the value of f(x) into the problem.. Step 2: Isolate the variable.. Step 3: Continue to isolate the variable.. Step 4: Confirming the answer.. What is an example of a linear function word problem?The word problem may be phrased in such a way that we can easily find a linear function using the slope-intercept form of the equation for a line. Example 1: Hannah's electricity company charges her $0.11 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $15.00 per month.
What are the 5 examples of linear equation?Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
What are the 4 types of linear functions?Summary. Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form.
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Word problems involving linear functions with solution pdf
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