The equation \( y = 5.5x \) represents the relationship between the number of cans of tomato paste (x) and the total weight in ounces (y). Given that \( x \) should represent the count of cans, it needs to be a non-negative integer.
Considering that, we can evaluate the given graph choices:
1. A straight line beginning at (0, 0) and ending at (5, 27.5): This represents a continuous relationship and not specifically discrete points for cans, although it covers the range well.
2. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5): This accurately represents the equation \( y = 5.5x \) for non-negative integer values of \( x \). These points are specific viable values that match the relationship.
3. A straight line beginning at (negative 5, negative 27.5) and ending at (5, 27.5): This line includes negative values of \( x \), which are not viable since \( x \) represents the number of cans and cannot be negative.
4. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), etc., up to (5, 27.5). This includes negative and positive values for \( x \). However, negative values are not viable for the count of cans.
Based on this analysis, the best representation of viable values for \( y = 5.5x \), where \( x \) is the number of cans (non-negative integers), is the second option:
- **Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)**.
Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (negative 5, negative 27.5) and ends at point (5, 27.5).
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), negative 3, negative 16.5), (negative 2, negative 11), (negative 1, negative 5.5), (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
1 answer
1 answer