The following equation represents the cost of buying a meal with one meat and options for the number of side dishes, x .

Question

y = 11 + 1.25x

options:

A. What is the y-intercept? ________

options:

The amount per side dish
The Cost of a meal with 0 sides
1.25
(0,11)
5
(11,0)
The number of sides that would cost you $0
4
11
6
7
(0,1.25)
The number of side dishes per cost

Answer 1

In the equation \( y = 11 + 1.25x \):

• \( y \) represents the total cost of the meal.
• \( x \) represents the number of side dishes.

The y-intercept of the equation (where the line intersects the y-axis) occurs when \( x = 0 \).

When \( x = 0 \): \[ y = 11 + 1.25(0) = 11 \]

Thus, the y-intercept is 11, which represents the cost of a meal when there are 0 side dishes.

So, the answer to the question is:

The Cost of a meal with 0 sides: 11

Answer 2

B. What does the y-intercept mean in context?

The amount per side dish
The Cost of a meal with 0 sides
1.25
(0,11)
5
(11,0)
The number of sides that would cost you $0
4
11
6
7
(0,1.25)
The number of side dishes per cost

Answer 3

In the context of the equation \( y = 11 + 1.25x \), the y-intercept represents the total cost of the meal when there are no side dishes ordered (i.e., when \( x = 0 \)).

Therefore, the correct interpretation of the y-intercept in this context is:

The Cost of a meal with 0 sides: 11

This means that if you do not order any side dishes, the cost of the meal would be $11.

Answer 4

D. What does the slope mean in context?

options:

The amount per side dish
The Cost of a meal with 0 sides
1.25
(0,11)
5
(11,0)
The number of sides that would cost you $0
4
11
6
7
(0,1.25)
The number of side dishes per cost

Answer 5

In the equation \( y = 11 + 1.25x \), the slope is the coefficient of \( x \), which is \( 1.25 \).

In this context, the slope represents the additional cost for each side dish ordered. Specifically, it indicates that for each additional side dish (each increase in \( x \) by 1), the total cost of the meal increases by $1.25.

Therefore, in context, the correct interpretation of the slope is:

The amount per side dish: 1.25

This means that each side dish costs an additional $1.25.

Answer 6

C. What is the slope?

options:

1.25
(0,11)
5
(11,0)
The number of sides that would cost you $0
4
11
6
7
(0,1.25)
The number of side dishes per cost

Answer 7

In the equation \( y = 11 + 1.25x \), the slope is the coefficient of \( x \), which is \( 1.25 \).

Thus, the answer to the question "What is the slope?" is:

1.25

Answer 8

E. If Jodi paid $18.50 for her meal, how many side dishes did she get?

options:

The amount per side dish
The Cost of a meal with 0 sides
1.25
(0,11)
5
(11,0)
The number of sides that would cost you $0
4
11
6
7
(0,1.25)
The number of side dishes per cost

Answer 9

To determine how many side dishes Jodi got for her meal that cost $18.50, we can use the equation:

\[ y = 11 + 1.25x \]

Where \( y \) is the total cost of the meal, and \( x \) is the number of side dishes.

We can set \( y \) to $18.50 and solve for \( x \):

\[ 18.50 = 11 + 1.25x \]

First, subtract 11 from both sides:

\[ 18.50 - 11 = 1.25x \]

\[ 7.50 = 1.25x \]

Next, divide both sides by 1.25:

\[ x = \frac{7.50}{1.25} = 6 \]

Therefore, Jodi got 6 side dishes.

So the answer is:

6