Hello I need help please
Of course! I'm here to help. What do you need assistance with?
Thanks!
Conor is going to the movie theater. A ticket to a movie costs t dollars, and there is a
15% amusement tax on each ticket.
a. Conor buys a ticket to see a movie. Write two expressions in terms of t
showing his total cost.
Sure! To calculate Conor's total cost for a movie ticket, we need to account for the ticket price (t dollars) and the amusement tax (15% of the ticket price).
Expression 1: Ticket Price
The expression representing the ticket price is simply t dollars.
Expression 2: Total Cost
To calculate Conor's total cost, we need to add the amusement tax to the ticket price. The amusement tax is 15% of the ticket price, so the expression for his total cost is:
t + 0.15t
Simplifying this expression, we get:
1.15t
Therefore, Conor's total cost for a movie ticket is 1.15t dollars.
b. 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 a value of t = $12.50 for this example.
Using Expression 2 from part a:
Total Cost = 1.15t
Substituting the value of t:
Total Cost = 1.15 * $12.50
Calculating the expression:
Total Cost = $14.375
Rounding to the nearest penny:
Total Cost = $14.38
Therefore, Conor's total cost for a movie ticket with a value of t = $12.50 is $14.38.
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?
Could I use 18?
To find a value of t that would make Conor's total cost fall between $17.50 and $20, you can use the expression for the total cost (1.15t) and solve the inequality.
1.15t > $17.50
t > $17.50 / 1.15
t > $15.22
1.15t < $20
t < $20 / 1.15
t < $17.39
From this analysis, we can conclude that a possible value of t that would make Conor's total cost fall between $17.50 and $20 is any value between $15.22 and $17.39.
Using t = 18 is also a valid option since it falls within this range.
Winona and Takoda are shopping for a present for their mother. The chart shows
several possible presents. There is no sales tax in the state where they live.
Present Cost ($) Discount (%) Total Paid
Power tools d 15%
Water skis d + 15 25%
Jewelry d – 5 10%
a. 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.
Sure! To calculate the total amount Winona and Takoda would pay for the set of power tools, we can use the discount percentage given (15%) and the expression for the cost of the present (d dollars).
Expression 1: Total Cost after Discount
To calculate the total cost after applying the discount, we need to subtract the discount amount from the cost of the present. The expression for the total paid would be:
(d - 0.15d)
Simplifying this expression, we get:
0.85d
Therefore, Winona and Takoda would pay 0.85d dollars in total for the set of power tools.
Expression 2: Total Cost with Discount Applied
Alternatively, we can also calculate the total cost by directly applying the discount percentage to the cost of the present. This expression would be:
(1 - 0.15) * d
Simplifying this expression, we get:
0.85d
Again, the total cost would be 0.85d dollars.
What does the expression 0.90(d – 5) refer to? How do you know? How else
could this expression be written?