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adrian128383
30.12.2020 •
Mathematics
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. 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.
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Ответ:
y = -2/3x + 300
Step-by-step explanation:
Since the line is linear, we can find the equation of the line in y=mx+b form.
First, you have to find the slope using the slope formula. Pick two points from the graph and plug it into the equation. It doesn't matter which ones; you will get the right answer regardless. I picked the points (0, 300) and (450, 0).
You now have slope (m). You have to find the y-intercept (b) next. The y-intercept is the point where the line crosses the y-axis. For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.
Since you have m and b, you can plug the values into y=mx+b.
y = mx + b
y = -2/3x + 300
Ответ:
20-k/15=17
-k/15=-3
-k=-45
k=45