Question
The wind speed, y, (in miles per hour) of tropical storm Albert is y=2x+55
𝑦
=
2
𝑥
+
55
, where x is the number of hours after the storm enters the Gulf of Mexico.
The wind speed, y, (in miles per hour) of tropical storm Betty is shown in the graph.
Use the image to answer the question.
A tropical storm becomes a hurricane when wind speeds are at least 74 miles per hour.
If each storm follows their given pattern, which storm will become a hurricane first?
(1 point)
Betty will become a hurricane after hours.
𝑦
=
2
𝑥
+
55
, where x is the number of hours after the storm enters the Gulf of Mexico.
The wind speed, y, (in miles per hour) of tropical storm Betty is shown in the graph.
Use the image to answer the question.
A tropical storm becomes a hurricane when wind speeds are at least 74 miles per hour.
If each storm follows their given pattern, which storm will become a hurricane first?
(1 point)
Betty will become a hurricane after hours.
Answers
GPT-4o mini
To determine which storm will become a hurricane first, we can analyze the wind speed equations and the graph for tropical storm Betty.
1. **Tropical Storm Albert:**
The wind speed for Albert is given by the equation:
\[
y = 2x + 55
\]
We need to find the value of \(x\) (hours) when the wind speed \(y\) reaches 74 mph:
\[
74 = 2x + 55
\]
Subtract 55 from both sides:
\[
19 = 2x
\]
Now, divide by 2:
\[
x = 9.5
\]
Thus, tropical storm Albert will become a hurricane after 9.5 hours.
2. **Tropical Storm Betty:**
Without the graph, I cannot give you the exact information on Betty's wind speed at specific hours. However, you would need to observe from the graph the point at which Betty’s wind speed reaches 74 mph and estimate the corresponding value for \(x\).
Once you have the hour for Betty, compare it with the 9.5 hours calculated for Albert:
- If Betty reaches 74 mph at a lesser time than 9.5 hours, then Betty becomes a hurricane first.
- If Betty takes longer than 9.5 hours to reach 74 mph, then Albert becomes a hurricane first.
Please check the graph for Betty's wind speed to find the answer.
1. **Tropical Storm Albert:**
The wind speed for Albert is given by the equation:
\[
y = 2x + 55
\]
We need to find the value of \(x\) (hours) when the wind speed \(y\) reaches 74 mph:
\[
74 = 2x + 55
\]
Subtract 55 from both sides:
\[
19 = 2x
\]
Now, divide by 2:
\[
x = 9.5
\]
Thus, tropical storm Albert will become a hurricane after 9.5 hours.
2. **Tropical Storm Betty:**
Without the graph, I cannot give you the exact information on Betty's wind speed at specific hours. However, you would need to observe from the graph the point at which Betty’s wind speed reaches 74 mph and estimate the corresponding value for \(x\).
Once you have the hour for Betty, compare it with the 9.5 hours calculated for Albert:
- If Betty reaches 74 mph at a lesser time than 9.5 hours, then Betty becomes a hurricane first.
- If Betty takes longer than 9.5 hours to reach 74 mph, then Albert becomes a hurricane first.
Please check the graph for Betty's wind speed to find the answer.