Suppose that Conor’s total cost to see the movie is greater than $17.50 and
less than $20. What could be a value of t to make that possible?
give me more of an explanation
In this scenario, it is given that Conor's total cost to see the movie is greater than $17.50 and less than $20. Therefore, we can express Conor's total cost as a variable, let's say C.
We know that Conor's total cost consists of two components: the cost of a ticket (t) and some additional expenses (e.g., snacks, transportation, etc.). Therefore, we can write the equation as:
C = t + e
Since t represents the cost of a ticket, we are looking for a value of t that satisfies the given condition. The condition is that Conor's total cost (C) must be greater than $17.50 and less than $20. Mathematically, we can write this as:
$17.50 < C < $20
Now we substitute the equation C = t + e:
$17.50 < t + e < $20
Since we are looking for the possible value of t, we need to isolate t. To do so, we can subtract e from all parts of the inequality:
$17.50 - e < t + e - e < $20 - e
$17.50 - e < t < $20 - e
In this inequality, we can see that t must be greater than $17.50 - e and less than $20 - e. This means that as long as t falls within this range, Conor's total cost will be higher than $17.50 and lower than $20.
Therefore, any value of t that satisfies the inequality $17.50 - e < t < $20 - e could be a possible value to make Conor's total cost possible in this scenario.
shorter and more easy to understand
In this scenario, Conor's total cost (C) to see the movie consists of the cost of a ticket (t) and additional expenses (e). We are given that C is greater than $17.50 and less than $20.
To find a possible value for t, we need to consider the range of values that satisfy the inequality $17.50 < C < $20.
Since C = t + e, we can rewrite the inequality as: $17.50 < t + e < $20.
By subtracting e from all parts of the inequality, we get: $17.50 - e < t < $20 - e.
Therefore, any value of t that falls within the range $17.50 - e < t < $20 - e would make Conor's total cost possible in this scenario.
so your saying the any value of t would fall between 17.50 and 20
Apologies for the confusion. No, I did not mean to imply that any value of t would fall between $17.50 and $20.
In this scenario, we are given that Conor's total cost (C) is greater than $17.50 and less than $20. The total cost includes the cost of a ticket (t) and additional expenses (e).
To determine a possible value for t, we need to consider the range of values that satisfy the inequality $17.50 < C < $20. Since C = t + e, we can rewrite the inequality as $17.50 < t + e < $20.
By subtracting e from all parts of the inequality, we get $17.50 - e < t < $20 - e. Therefore, the possible values of t would fall within the range $17.50 - e < t < $20 - e.
The specific value of t depends on the value of e (the additional expenses). Without knowing the value of e, it is not possible to determine an exact value for t.