Question
The wind speed, y, (in miles per hour) of tropical storm Albert is y=2x+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 line graph titled Tropical Storm Betty. The y-axis is labeled Wind Speed, miles per hour, and is marked from 10 to 90. The x-axis is labeled, hours after entering the Gulf, and is marked from 1 to 9.
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.
Remaining Attempts : 3
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, 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 line graph titled Tropical Storm Betty. The y-axis is labeled Wind Speed, miles per hour, and is marked from 10 to 90. The x-axis is labeled, hours after entering the Gulf, and is marked from 1 to 9.
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.
Remaining Attempts : 3
Skip to navigation
Answers
GPT-4o mini
To determine which tropical storm becomes a hurricane first, we need to find out when each storm's wind speed reaches 74 miles per hour.
### For Tropical Storm Albert:
The equation for Tropical Storm Albert's wind speed is given by:
\[ y = 2x + 55 \]
We need to find the value of \( x \) when \( y = 74 \):
\[ 74 = 2x + 55 \]
Subtract 55 from both sides:
\[ 19 = 2x \]
Now, divide by 2:
\[ x = 9.5 \]
### For Tropical Storm Betty:
To find out when Tropical Storm Betty becomes a hurricane, we would need to refer to the graph. Since I can't see the graph, let's assume we can read it. You should find the x-coordinate (number of hours) where the wind speed (y) reaches 74 mph.
Now, compare the values:
- Albert becomes a hurricane at \( x = 9.5 \) hours.
- Betty's crossing time at 74 mph (to be determined from the graph).
If Betty reaches 74 mph at an x-value less than 9.5, then Betty becomes a hurricane first. If it’s after 9.5, then Albert becomes a hurricane first.
Please refer to the graph of Tropical Storm Betty and find the x-coordinate when its wind speed reaches 74 mph.
### For Tropical Storm Albert:
The equation for Tropical Storm Albert's wind speed is given by:
\[ y = 2x + 55 \]
We need to find the value of \( x \) when \( y = 74 \):
\[ 74 = 2x + 55 \]
Subtract 55 from both sides:
\[ 19 = 2x \]
Now, divide by 2:
\[ x = 9.5 \]
### For Tropical Storm Betty:
To find out when Tropical Storm Betty becomes a hurricane, we would need to refer to the graph. Since I can't see the graph, let's assume we can read it. You should find the x-coordinate (number of hours) where the wind speed (y) reaches 74 mph.
Now, compare the values:
- Albert becomes a hurricane at \( x = 9.5 \) hours.
- Betty's crossing time at 74 mph (to be determined from the graph).
If Betty reaches 74 mph at an x-value less than 9.5, then Betty becomes a hurricane first. If it’s after 9.5, then Albert becomes a hurricane first.
Please refer to the graph of Tropical Storm Betty and find the x-coordinate when its wind speed reaches 74 mph.