To determine which parking option charges a higher rate per hour to park, we need to analyze the cost structure of both the parking lot (Function 1) and the parking garage (Function 2).
### Function 1 (Parking Lot)
The parking lot has a flat fee of $7.00 and a charge of $1.00 per hour. This can be represented by the equation:
\[ y = 7 + 1x \]
Here, the hourly rate is $1.00.
### Function 2 (Parking Garage)
Unfortunately, the graph for the parking garage is not provided, but we can use hypothetical points to understand how the graph would be represented. To compare the rates, let's assume we can see key points on the graph.
For the sake of argument, let's assume some points on the graph:
- When \( x = 0 \), \( y = 2 \) (initial cost, possibly some base fee).
- When \( x = 1 \), \( y = 4 \).
- When \( x = 2 \), \( y = 6 \).
From these points, we can infer that the parking garage starts at a $2 fee and then increases by $2 per hour. The equation might look like:
\[ y = 2 + 2x \]
Here, the hourly rate is $2.00.
### Comparison
- Parking Lot: $1.00 per hour
- Parking Garage: $2.00 per hour
So, the parking garage charges a higher rate per hour.
### Correct Statement
B. The parking garage charges a higher rate per hour because when you compare the rates, 2 (garage rate) 1 (lot rate).
Consider the two functions described below.
Function 1 describes the cost, y, to park in a parking lot for x hours. There is a flat fee of $7.00 and $1.00 charge per hour.
Function 2 is represented in the graph below. It shows the cost, y, to park in a parking garage, for x hours.
Which statement correctly explains whether the parking lot or parking garage charges a higher rate per hour to park?
A. The parking lot charges a higher rate per hour because when you compare the rates, 7 4.
B. The parking garage charges a higher rate per hour because when you compare the rates, 2 1.
C. The parking lot charges a higher rate per hour because when you compare the rates, 7 2.
D. The parking garage charges a higher rate per hour because when you compare the rates, 4 1.
1 answer