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. Re-write the equation in
slope-intercept form to make it easier to graph: y = m + b
Simplify all fractions. Enter values as simplified fractions or terminating decimals.
y = _
y = (-3/4)x + 33
To rewrite the equation in slope-intercept form, we need to solve for y.
Starting with the given equation:
9x + 12y = 396
Subtracting 9x from both sides:
12y = -9x + 396
Dividing both sides by 12:
y = (-9/12)x + 33
Simplifying the fraction -9/12, we get:
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 (y = mx + b), we need to solve for y.
The given equation is: 9x + 12y = 396.
To isolate the y variable, we need to move the 9x term to the other side of the equation:
12y = -9x + 396
Next, divide the entire equation 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.