Sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2 and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x + 3y = 1,470 represents sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. 1)change the equation to slope-intercept form. identify the slope and y-intercept of the equation. be sure to show all your work. 2)describe how you would graph this line using the slope-intercept method. be sure to write using complete sentences. 3)write the equation in function notation. explain what the graph of the function represents. be sure to use complete sentences. 4)graph the function. on the graph, make sure to label the intercepts. you may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. 5)suppose sal's total profit on lunch specials for the next month is $1,593. the profit amounts are the same: $2 for each sandwich and $3 for each wrap. in a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. 6)below is a graph that represents the total profits for a third month. write the equation of the line that represents this graph. show your work or explain how you determined the equations. graph of line going through ordered pairs (0, 300) and (450, 0)

1. The slope intercept form of an equation is:

y = m x + b

where m is the slope and b is the y intercept

2 x + 3 y = 1470

3 y = - 2 x + 1470

y = - 2/3 x + 490

So the slope m = - 2/3, and the y-intercept is b = 490

2. To graph this line, we would assign different values of x starting from zero. Then plug in the value of x to calculate for the corresponding value of y. We would then plot on a graph the (x, y) values that we can obtain then connect them with a line.

3. The function notation is simply in the form of:

f(x) = m x + b

therefore:

f(x) = - 2/3 x + 490

The graph of the function simply indicates the amount of f(x) that can be obtained for every x values.

4. Check the pic of the graph attached

5. Since the prices will still be the same, therefore the slope m would still be similar. This means that the degree of inclination of the graph would be the same. The main difference would be on the y-intercept b. Since the profit is higher, therefore the new graph would be located above the 1st function.

6. Where is the graph? I think you can answer this one based on how I answer the previous items.

∠cbe and ∠deb are same-side interior angles.

i took the test

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

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