Lauren is planning a catered dinner party for her parents' anniversary with a dinner budget of $396. She has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate. Lauren is working on the guest list and must also determine how many of each meal to order.
The equation that represents the situation is 9x+12y=396
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Lauren wants to graph the situation to easily look at all combinations of meals. Re-write the equation in slope-intercept form to make it easier to graph: y=mx+b
Simplify all fractions. Enter values as simplified fractions or terminating decimals.
y=
To rewrite the equation in slope-intercept form, we need to isolate y on one side of the equation.
9x + 12y = 396
Subtract 9x from both sides:
12y = -9x + 396
Divide both sides by 12:
y = (-9/12)x + 33
Simplify the fraction:
y = (-3/4)x + 33
To rewrite the equation 9x + 12y = 396 in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
First, subtract 9x from both sides:
12y = -9x + 396
Next, divide both sides by 12 to solve for y:
y = (-9/12)x + 396/12
Simplifying the fractions:
y = (-3/4)x + 33
Therefore, the equation in slope-intercept form is y = (-3/4)x + 33.
To rewrite the equation in slope-intercept form, we need to solve it for y.
The given equation is 9x + 12y = 396.
First, let's isolate the variable y by subtracting 9x from both sides of the equation:
12y = -9x + 396.
Next, divide both sides of the equation by 12 to solve for y:
y = (-9/12)x + 33.
Simplifying the fraction -9/12, we get -3/4.
Therefore, the equation in slope-intercept form is:
y = (-3/4)x + 33.