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=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 solve for y.
9x + 12y = 396
12y = -9x + 396
y = (-9/12)x + 396/12
Simplifying the equation further:
y = (-3/4)x + 33
Therefore, the equation in slope-intercept form is y = (-3/4)x + 33.