Ms. Garcia burns 236 calories riding her bike each hour. She wants to burn more than 354 calories riding her bike at the same rate.
Which inequality represents all possible values for t, the number of hours Ms. Garcia must ride her bike to burn more than 354 calories?
Responses
A t > 0.5t > 0.5
B t > 1.5t > 1.5
C t < 1.5t < 1.5
D t < 0.5
t > 1.5
To determine the inequality that represents all possible values for t (the number of hours), we need to compare the calories burned by Ms. Garcia riding her bike to the target of burning more than 354 calories.
We are given that Ms. Garcia burns 236 calories riding her bike each hour. So, we want to find the inequality where the product of 236 and t (the number of hours) is greater than 354.
The inequality that represents this situation is t > 1.5. This indicates that the number of hours Ms. Garcia must ride her bike is greater than 1.5 (or more than 1 hour and 30 minutes).
Therefore, the correct answer is B: t > 1.5.
To find the inequality that represents all possible values for the number of hours (t) Ms. Garcia must ride her bike to burn more than 354 calories, we can set up an equation.
Let's start by using the information given: Ms. Garcia burns 236 calories riding her bike each hour. We want to find the number of hours she needs to ride to burn more than 354 calories.
We can set up the following inequality to represent this situation:
236t > 354
Explanation:
The left-hand side of the inequality, 236t, represents the number of calories burned in t hours. The right-hand side of the inequality, 354, represents the minimum number of calories Ms. Garcia wants to burn.
To solve this inequality, divide both sides of the inequality by 236:
(236t)/236 > 354/236
This simplifies to:
t > 1.5
Therefore, the correct inequality that represents all possible values for t is:
t > 1.5
So, the answer is option B: t > 1.5.