c. 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?
In order for Conor's total cost to be greater than $17.50 and less than $20, the cost for the ticket (t) must be greater than $17.50 and less than $20 minus any additional costs (c) involved.
So, mathematically, we can express this as:
17.50 < t + c < 20
To find a possible value of t, we can choose any value within the range of $17.50 to $20 minus any value for c.
For example, let's assume c = $2. This means Conor's total cost would be:
17.50 < t + 2 < 20
We can subtract 2 from each side of the inequality to isolate t:
15.50 < t < 18
Therefore, a possible value for t could be any number between $15.50 and $18 (exclusive).
Complete the following questions.
Winona and Takoda are shopping for a present for their mother. The chart shows
several possible presents. There is no sales tax in the state where they live.
Present Cost ($) 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
Let's assume the cost of the power tools is represented by variable d.
To find out how much Winona and Takoda would pay in total, we need to subtract the discount from the cost.
1. Winona and Takoda would pay 85% of the cost of the power tools. So their total paid can be expressed as:
Total Paid = d - 0.15d = 0.85d
2. Another way to express their total paid is by subtracting the discount from the original cost:
Total Paid = d - (15/100)d = d - 0.15d = 0.85d
Therefore, 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 are:
1. Total Paid = 0.85d
2. Total Paid = d - 0.15d = 0.85d