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.
Lauren wants to graph the situation to easily look at all combinations of meals. Rewrite 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 the variable "y" on one side of the equation.
Starting with the original equation:
9x + 12y = 396
Subtract 9x from both sides:
12y = -9x + 396
Divide both sides by 12:
y = (-9/12)x + 33
Simplifying the fraction -9/12, we get:
y = (-3/4)x + 33
To rewrite the equation 9x + 12y = 396 in slope-intercept form (y = mx + b), we need to isolate y.
First, let's move 9x to the other side of the equation:
12y = -9x + 396
Next, divide both sides of the equation by 12:
y = (-9/12)x + (396/12)
Simplifying the fraction -9/12, we get -3/4:
y = (-3/4)x + (396/12)
Therefore, the equation in slope-intercept form is: y = (-3/4)x + 33.
To rewrite the equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Starting with the initial equation:
9x + 12y = 396
Let's move the term with the variable x to the right side:
12y = -9x + 396
Next, divide both sides of the equation by 12 to isolate y:
y = (-9/12)x + 33
Simplifying the fraction -9/12, we get:
y = (-3/4)x + 33
So, in slope-intercept form, the equation is:
y = (-3/4)x + 33