The temperature in Amarillo is 74 degrees and is increasing at a rate of 2 degrees per hour. In Houston, it is 68 degrees and increasing 4 degrees per hour. Write an inequality to find how long it will take for the temperature in Houston to exceed the temperature in Amarillo.
68 + 4T > 74 + 2T.
2T > 6,
T > 3 hours.
.
Let's denote the time in hours as "t".
The temperature in Amarillo is given by 74 + 2t, where t represents the time in hours. Similarly, the temperature in Houston is given by 68 + 4t, where t represents the time in hours.
To find out how long it will take for the temperature in Houston to exceed the temperature in Amarillo, we need to set up an inequality.
Thus, the inequality is:
68 + 4t > 74 + 2t
Simplifying the inequality, we get:
4t - 2t > 74 - 68
2t > 6
Now, we divide both sides of the inequality by 2 to solve for t:
t > 3
Therefore, it will take more than 3 hours for the temperature in Houston to exceed the temperature in Amarillo.
To find out how long it will take for the temperature in Houston to exceed the temperature in Amarillo, we can set up an inequality based on the given information.
Let's assume t represents the number of hours. The temperature in Amarillo is given as 74 degrees and is increasing at a rate of 2 degrees per hour. This means that the temperature in Amarillo after t hours would be given by 74 + 2t.
Similarly, the temperature in Houston is given as 68 degrees and is increasing at a rate of 4 degrees per hour. This means that the temperature in Houston after t hours would be given by 68 + 4t.
To find when the temperature in Houston exceeds the temperature in Amarillo, we can set up the following inequality:
68 + 4t > 74 + 2t
This inequality represents the condition that the temperature in Houston is greater than the temperature in Amarillo. Solving this inequality will give us the value of t when this condition is met.
By simplifying the inequality:
4t - 2t > 74 - 68
2t > 6
t > 3
Therefore, it will take more than 3 hours for the temperature in Houston to exceed the temperature in Amarillo.