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 (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. A. What is the y-intercept? B. What does the y-intercept mean in context? Response area C. What is the slope? Response area D. What does the slope mean in context? Response area E. If Jodi paid $18.50 for her meal, how many side dishes did she get?
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?
To find the y-intercept of the equation, we need to set x equal to zero and solve for y.
y = 11 + 1.25(0)
y = 11 + 0
y = 11
So, the y-intercept is 11.
In the context of the equation, the y-intercept represents the cost of buying a meal with no side dishes (x = 0). It is the initial cost without any additional side dishes.
To find the slope of the equation, we can observe that the coefficient multiplying x is 1.25. So, the slope is 1.25.
In the context of the equation, the slope represents the change in cost for each additional side dish. For every increase in the number of side dishes by 1, the cost of the meal increases by $1.25.
To find the number of side dishes Jodi got, we can use the equation and substitute the cost of her meal, which is $18.50.
18.50 = 11 + 1.25x
Subtracting 11 from both sides:
7.50 = 1.25x
Dividing both sides by 1.25:
x = 6
Therefore, Jodi got 6 side dishes with her meal.