Sure! Let's work through this step-by-step.
### Given Information:
We have the stopping distances for a car at different speeds.
- At 20 mph, the stopping distance is 15 meters.
- At 40 mph, the stopping distance is 45 meters.
- At 60 mph, the stopping distance is 90 meters.
### Answer to Part (a):
We are given a square grid that shows the bar for the stopping distance at 20 mph (which is 15 meters) and are asked to use this scale to draw the bar for the stopping distance at 40 mph.
First, let's determine how many squares on the grid correspond to the stopping distance at 20 mph.
Assume that 1 square on the grid represents a certain distance, in this case, 5 meters (since it is stated that each square represents 5 meters).
Now, calculate how many squares represent 15 meters (the stopping distance at 20 mph):
[tex]\[ \text{Number of squares for 20 mph} = \frac{\text{Stopping distance at 20 mph}}{\text{Distance per square}} = \frac{15}{5} = 3 \text{ squares} \][/tex]
Next, let's use this same scale to find out how many squares represent the stopping distance at 40 mph (which is 45 meters):
[tex]\[ \text{Number of squares for 40 mph} = \frac{\text{Stopping distance at 40 mph}}{\text{Distance per square}} = \frac{45}{5} = 9 \text{ squares} \][/tex]
Therefore, you should draw a bar that is 9 squares long for the stopping distance at 40 mph.
### Answer to Part (b):
For the stopping distance at 60 mph, the distance is 90 meters. Again using the same scale, we calculate the number of squares required.
[tex]\[ \text{Number of squares for 60 mph} = \frac{\text{Stopping distance at 60 mph}}{\text{Distance per square}} = \frac{90}{5} = 18 \text{ squares} \][/tex]
Therefore, the bar for the stopping distance at 60 mph should be 18 squares long.
Final Answers:
- (a) The bar for the stopping distance at 40 mph should be 9 squares long.
- (b) The bar for the stopping distance at 60 mph should be 18 squares long.
