Question

the graph below shows the relationship between the amount of money and she returns account over a. Of time which of the following statements is not true about the relation

Answer 1

The statement that is not true is;

The relationship is proportional

Here, we want to select the option that is not true about the graph

We shall be doing this by going through each of the options;

a) We check for this by looking at the y-value that is corresponding to 5 weeks; As we can see, the y-value here is $100 and that means this option is correct

b) This is also correct; this is correct because the balance remaining at 7 weeks is $60

c) Here, we want to check if the relationship is proportional

If the relationship is proportional, we have to multiply the x or y values by a certain number to get either of the two;

At no point on the graph do we multiply by a certain value to get either of x and y; that means the relationship is not proportional and this option cannot be true

d) Looking at the graph, we have the y-intercept at 200

Now, we can get the slope of the line by using any two points. We write this with the intercept so we can get the slope-intercept form of the equation

`\begin{gathered} y\text{ = mx + b} \\ b\text{ = 200} \\ To\text{ get m;} \\ m\text{ = }(y_2-y_1)/(x_2-x_1) \\ m\text{ = }(200-160)/(2-0)\text{ = }(-40)/(2)\text{ = -20} \end{gathered}`

So the equation of the line is;

`y\text{ = 200-20x}`

This means that this equation is correct