Question

I NEED HELP ON THE FIRST QUESTION ASAP!!!!!!!!

Answer 1

Answer: Answer to question 1 is =========================================================Explanation:The first task is to find the equation of the line through the given points in the table. Pick any two points you want. I'll pick (0,100) and (50,80) Determine the slope:The slope is -2/5.The y intercept is b = 100 because of the point (0,100)We go from to Each point from the table is found on this line. For instance, let's check the point (140,44)This confirms (140,44)I'll let you check the other points.------------------Any point on the line mentioned represents a scenario where César spends all of the $50.If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.This means we want to shade the region below the boundary line We'll replace the equal sign with a "less than or equal" signWe arrive at as the final answer to question 1.

Step-by-step explanation:

Answer 2

Answer to question 1 is
`\text{y} \le -(2)/(5)\text{x}+100`

=========================================================

Step-by-step explanation:

The first task is to find the equation of the line through the given points in the table.

Pick any two points you want. I'll pick (0,100) and (50,80)

Determine the slope:

`(x_1,y_1) = (0,100) \text{ and } (x_2,y_2) = (50,80)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (80 - 100)/(50 - 0)\\\\m = (-20)/(50)\\\\m = -(2)/(5)\\\\`

The slope is -2/5.

The y intercept is b = 100 because of the point (0,100)

We go from
`\text{y} = m\text{x}+b` to
`\text{y} = -(2)/(5)\text{x}+100`

Each point from the table is found on this line. For instance, let's check the point (140,44)

`\text{y} = -(2)/(5)\text{x}+100\\\\44 = -(2)/(5)*140+100\\\\44 = -56+100\\\\44 = 44\\\\`

This confirms (140,44)

I'll let you check the other points.

------------------

Any point on the line mentioned represents a scenario where César spends all of the $50.

If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.

This means we want to shade the region below the boundary line
`\text{y} = -(2)/(5)\text{x}+100`

We'll replace the equal sign with a "less than or equal" sign

We arrive at
`\text{y} \le -(2)/(5)\text{x}+100` as the final answer to question 1.