Conor buys a ticket to see a movie. Write two expressions in terms of t
showing his total cost
Let's assume the cost of the ticket is $x.
First expression: If Conor buys only one ticket, his total cost would be x.
Second expression: If Conor buys multiple tickets, his total cost would be t * x, where t represents the number of tickets he purchases.
Choose a value for t greater than $12 and less than $13. Use one of the
expressions you wrote in part a to find Conor’s total cost, rounded to the
nearest penny. Show your work
Let's choose t = 12.5.
Using the second expression, t * x, where x is the cost of each ticket, and t = 12.5:
Total cost = 12.5 * x
Since we don't have the actual value of x, we cannot find the exact total cost. However, we can provide an example calculation if we assume x = $10 (randomly chosen):
Total cost = 12.5 * 10
Total cost = $125
In this example, if each ticket costs $10, Conor's total cost for 12.5 tickets would be $125.
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
Let's use the second expression, t * x, to find possible values of t that would make Conor's total cost fall between $17.50 and $20.
Assuming the cost per ticket, x, is $1, we can find the possible value of t:
$17.50 < t * 1 < $20
Dividing both sides by 1:
$17.50 < t < $20
This means that any value of t between $17.50 (exclusive) and $20 (exclusive) would make Conor's total cost fall within the desired range.
For example, t = $18 or t ≈ $19.99 would both work.
Write two expressions in terms of d to show how much Winona and Takoda
would pay in total if they buy their mother the set of power tools
Let's assume the cost of the set of power tools is $x.
First expression: Winona's total cost can be represented as x + d. Here, d represents any additional amount Winona decides to contribute towards the gift, in addition to the cost of the power tools.
Second expression: Takoda's total cost can be represented as x - d. Here, d represents any amount Takoda decides to deduct or contribute less towards the gift than the actual cost of the power tools.
What does the expression 0.90(d – 5) refer to? How do you know? How else
could this expression be written
The expression 0.90(d - 5) refers to the result of taking a given value of d, subtracting 5 from it, and then multiplying it by 0.90 or 90%.
We know this because the expression includes the operation of subtraction (-), the value of d being subtracted by 5, and the multiplication by 0.90.
This expression could also be written as 0.90d - 4.50.
Choose a value for d that is greater than $25 and less than $100. Calculate the
total cost of each of the possible presents for the value you chose. Then write a
short paragraph telling Winona and Takoda which present they should buy and
explaining why