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oee [108]
2 years ago
7

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.
Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

<u>Answer:</u>

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

gradient = = -\frac{2}{3}

y-intercept = 490

<u>Step-by-step explanation:</u>

• The slope-intercept form of an equation takes the general form:

\boxed{y = mx + c},

where:

m = slope,

c = y-intercept.

• We are given the equation:

2x + 3y = 1470

To change this into the slope-intercept form, we must make y the subject:

3y = -2x + 1470          [subtract 2x from both sides]

⇒ y = -\frac{2}{3}x + \frac{1479}{3}        [divide both sides by 3]

⇒ y = -\frac{2}{3}x + 490

• Comparing this equation with the general form equation, we see that:

m = -\frac{2}{3}

c = 490.

This means that the gradient is \bf -\frac{2}{3}, and the y-intercept is \bf 490.

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