Question

How do you know you need to create a linear equation to solve a word problem?

Answer 1

Hint: As we know that the linear equations are those equations in which the power of the variable is equal to one. The standard form of the linear equation in one variable is $ ax + b = 0 $ . While the word problems are mathematical problems that are delivered in ordinary words rather in mathematical symbols. These parts need to be converted in the form of the equation then we can solve the equations.

Complete step by step solution:
As per the question we have to find out when we need to create a linear equation in word problem. We know that the slope intercept form of the linear equation is $ y = mx + b $ .
We can tell we need to create a linear equation by the information and data given in the problem. It should contain a $ Y - $ intercept, a starting amount of something and a slope or a rate of change.
As for example, consider an example: Anima and Sina are starting their own babysitting business. They charge the parents $ rs5 $ right when they come in and rs $ 2 $ for every hour they need to babysit. How can they calculate how much they will charge for an evening of babysitting?
Here in the solution of this example, $ x $ will be the hours and $ y $ would be the value of the total cost. Now we can write the equation according to the data: $ y = 2x + 5 $ .
Hence we can create the linear equation of the word problem by looking at the data and the given information.

Note: We should note that a linear model is created by first assuming the variables and then determining the value of the slope and $ y $ -intercept. In such types of questions, we should not forget to substitute the values of the slope and the intercept. There are linear equations with many variables, we can create the equation according to the word problem.