Question

Can someone do this for me i will give brainliest.

Answer 1

Answer:

Part A). $y=\frac{-2}{3}x+490$

Part B). Figure shows the graph of a line $y=\frac{-2}{3}x+490$

Part C) f(x)=$\frac{-2}{3}x+490$

Part D). Figure shows f(x) by using graphical technology.

Part E). $y=\frac{-2}{3}x+531$ is representing the profit of sal's shop for next month.

Step-by-step explanation:

Sal's sandwich shop wraps and sandwiches as part of its lunch specials

Profit of every sandwich is 2$ and Profit on wraps is 3$. Sal made a profit of 1470$ in last month.

The equation representing the profit of sal's shop is 2x+3y=1470.

where x is a number of sandwiches sold and y is a number of wraps sold.

Part A).  Change the equation to slope-intercept form.

Ans.

The slope-intercept form of the line is given by y=mx+c

where m is a slope of line and c is the y-intercept.

Now, Given equation is 2x+3y=1470

2x+3y=1470

Divide by 3 on both the sides

$\frac{2}{3}x+y=490$

$y=\frac{-2}{3}x+490$

On comaring the both the equations

m=$\frac{-2}{3}$ and c=490

Part B). Graph the line using a slope-intercept form of a line.

Ans.

The equation of the line is $y=\frac{-2}{3}x+490$

Step1 : Plot y-intercept (0,490) on graph.

Step2: From the y-intercept, use the slope to plot the next point

Here, the slope is m=$\frac{-2}{3}$

We can also write, slope as m=$\frac{-200}{300}$

Take next point as 300 unit in the negative x-direction and 200 unit in the positive y-direction from y-intercept point (0,490).

Note: Figure shows the graph of a line $y=\frac{-2}{3}x+490$

Part C). Write the equation in function notation

Ans.

The equation of the line is $y=\frac{-2}{3}x+490$

For function notation,

Take y=f(x)

Therefore, f(x)=$\frac{-2}{3}x+490$

The function f(x) is polynomial of one degree .

Hence, it represents the equation of a line.

Part D). Graph f(x) with y-intercept.

Ans.

f(x)=$\frac{-2}{3}x+490$

Note : Figure shows f(x) by using graphical technology.

Part E). Profit of next month is 1593$

Ans.

The equation representing the profit of sal's shop for next month is 2x+3y=1593

Rewriting in slope-intercept form.

2x+3y=1593

$y=\frac{-2}{3}x+531$

Here,  $y=\frac{-2}{3}x+490$ is representing the profit of sal's shop for last month and  $y=\frac{-2}{3}x+531$ is representing the profit of sal's shop for next month.

We can observe that slope of both the equations is same or unchanged. if the slope of the equation of the line is same then, both lines are parallel to each other.

Whereas the y-intercept of equation for last month is 490 and the y-intercept of the equation for next month is 531. Therefore, the graph of line for last month is shifted from (0,490) to (0,531) next month.