Question 6

Question

During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $30 plus $10 per hour (including taxes). The total charge comes to $90. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?
*
A. 10x + 30 = 90; 6 hours
B. 10(x + 30) = 90; 5 hours
C. 30x + 10 = 90; 6 hours
D. 30 (x + 10) = 90; 5 hours
Question 7
Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. Write and solve an inequality to find the number of trading cards Lamont needs. Select all of the true statements.
*
A. x + 20 ≥ 50
B. x + 20 ≤ 50
C. x ≥ 30
D. x ≤ 30
E. x ≥ 70
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Answer 1

Question 6

To find the appropriate equation that models Dalyn's boat rental charges:

The rental service charges a flat fee of $30 plus $10 for each hour he rents the boat. If we let \( x \) represent the number of hours Dalyn rents the boat, we can express the total charge as: \[ \text{Total Charge} = \text{Flat Fee} + \text{Charge per Hour} \times \text{Number of Hours} \] This translates to: \[ 30 + 10x = 90 \]

To find the equation, rearranging gives: \[ 10x + 30 = 90 \]

Thus, the correct answer is: A. 10x + 30 = 90; 6 hours

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Question 7

Lamont wants to have at least 50 trading cards and currently has 20. To determine how many more trading cards he needs, we can set up the inequality as follows:

Let \( x \) be the number of additional trading cards Lamont needs. The situation can be described with the inequality: \[ x + 20 \geq 50 \]

Now, solving the inequality:

1. Subtract 20 from both sides: \[ x \geq 30 \]

The true statements based on the provided options would be:

• A. \( x + 20 \geq 50 \) (This is correct.)
• C. \( x \geq 30 \) (This correct statement comes from our solution.)

The remaining options (B, D, E) do not satisfy the requirement based on the inequality derived and solved.

Thus, the true statements are: A. \( x + 20 \geq 50 \)
C. \( x \geq 30 \)