Question

Form5 linear eq 2 variables from daily life

Answer 1

Mathematics is used in everyday life, although most of the time you won't even realize you are using it.Everything from dividing a cake into equal portions to determining the sale price of an item on theclearance rack requires mathematics. One of the most commonly used mathematical tools is linearequations. Linear equations permit their users to solve complex and flexible problems with a set ofsimple equations. Those things that never change in the equation are called constants. The things that dochange are variables and are traditionally represented by letters.Instructions1Calculate your cab fare for a trip home by forming a linear equation. The boarding rate that the driverrequires is a constant; the meter rate is also a constant, but must be multiplied by how far you went. So, ifthe meter rate is $2, the boarding rate is $4 and time is represented by "x", the linear equation would be2x + 4 = cab fare. 2Calculate your fuel efficiency. Let's say your car gets 40 miles to the gallon when you travel below 50miles per hour and 30 miles per gallon when you travel above 50 miles per hour. Determine how muchfuel you'll need to drive somewhere by calculating how often you'll travel under and over 50 miles perhour. So the equation could be a/30 + b/40 = fuel needed.3Determine how much weight you'll lose by creating a calorie-burning equation. For instance, you'll burn120 calories per hour of walking. So multiply 120 calories by the number of hours you walked and you'lldetermine how many calories you burned. If you walked less than 1 hour, use the fraction for how longyou did walk, such as one-quarter hour. The equation for this would simply be 120x = burnt calories.Things for Which You Can Use a Linear EquationLinear equations, or equations with variables raised to the first power only, describe linearrelationships between those variables. A linear relationship, if plotted on a graph, would result ina straight line. When one or more of the variables in a linear relationship are unknown, they canbe identified or approximated using linear equations. This has a wide range of applications, fromacademic problems to those in everyday life.Physics Many physical quantities are linearlyrelated. For example, consider Newton’s second law of motion,which states that force is equal to mass multiplied by acceleration. This is a linear relationship, expressedas F = MA. This linear equation can be used to solve for any of the three variables, given the other two areknown or can be derived.Grocery Shopping Linear equations can be used when grocery shopping to calculatethe right amount of food to buy. One such equation could be(Quantity to purchase) = (Number of meals)(Number of people)(Quantity per meal)– (Quantity already purchased). Usingthis equation, you could figure out how many apples you need tobuy, if your three children each have an apple in their lunch fivedays a week, and you currently have four apples in the refrigerator:(Quantity to purchase) = (5 meals)(3 kids)(1 apple each)– (4 apples in the fridge) = 11 apples. 

Answer 2

1 Variable Costs. Imagine that you are taking a taxi while on vacation. ... 2 Rates. Linear equations can be a useful tool for comparing rates of pay. ... 3 Budgeting. A party planner has a limited budget for an upcoming event.

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