The following equation represents the cost of buying a meal with one meat and options for the number of side dishes, x . y = 11 + 1.25x
A. What is the y-intercept?
B. What does the y-intercept mean in context?
C. What is the slope?
D. What does the slope mean in context?
E. If Jodi paid $18.50 for her meal, how many side dishes did she get?
A. To find the y-intercept, we set x = 0 in the equation and solve for y.
y = 11 + 1.25(0)
y = 11 + 0
y = 11
Therefore, the y-intercept is 11.
B. The y-intercept represents the cost of buying a meal with no side dishes. In this case, it means that the cost of buying a meal with just one meat and no side dishes is $11.
C. The slope of the equation is 1.25.
D. The slope represents the increase in cost for each additional side dish. In this case, it means that for every additional side dish added to the meal, the cost increases by $1.25.
E. We can substitute the cost of Jodi's meal, $18.50, into the equation and solve for x.
18.50 = 11 + 1.25x
7.50 = 1.25x
x = 6
Therefore, Jodi got 6 side dishes with her meal.