An SAT tutoring service charges a $500 fee for two sessions, plus $50 for each additional session. Emily doesn't want to spend more than $700 on tutoring. What is the maximum number of additional sessions (beyond the first two) that Emily can book for her tutoring sessions? (1 point)
• 4
• 5
O6
O7
Let's first calculate how much Emily will spend on the first two sessions. Each session costs $500, so for two sessions, she will spend 2 * $500 = $<<2*500=1000>>1000.
Now, let's subtract the amount already spent from the maximum amount she wants to spend: $700 - $1000 = $<<700-1000=-300>>-300.
Since she will be able to spend only up to $-300 on additional sessions, she won't be able to book any additional sessions. Therefore, the maximum number of additional sessions she can book is 0. Answer: \boxed{0}.
Which answer from the options
None of the options provided (4, 5, 6, or 7) are correct. The correct answer is 0.
Ashley and Liam both have playlists on their music apps.
• The number of playlists on Ashley's app can be represented by X.
• The number of playlists on Liam's app is 4 times the number of playlists on
Ashley's app.
• The total number of playlists on both their apps is at least 45.
What is the solution set for x, representing the number of playlists on Ashley's app?
(1 point)
• x ≤-9
• x ≥-9
0x ≥9
Ox≤9
Let's represent the number of playlists on Ashley's app as X.
According to the information given, the number of playlists on Liam's app is 4 times the number of playlists on Ashley's app, so it can be written as 4X.
The total number of playlists on both their apps is at least 45, so we can write the following inequality:
X + 4X ≥ 45
Combining like terms, we get:
5X ≥ 45
Dividing both sides of the inequality by 5, we find:
X ≥ 9
Therefore, the solution set for X, representing the number of playlists on Ashley's app, is X ≥ 9. Answer: X ≥ 9.
Olivia visited a stationery shop to buy journals.
• She had $36 allocated for the purchase.
• Olivia bought 4 journals.
• Following the purchase, Olivia had less than $12 remaining.
What is the solution set for x, representing the cost of each journal?
(1 point)
• x > $3
•x> $4
• x > $5
• x >$6
Let's assume x represents the cost of each journal.
According to the information given, Olivia had $36 allocated for the purchase and she bought 4 journals. This means she spent a total of 4x dollars on the journals.
Following the purchase, Olivia had less than $12 remaining, so we can write the inequality: 36 - 4x < 12.
To solve for x, we will solve this inequality for x:
36 - 4x < 12
Subtract 36 from both sides:
-4x < 12 - 36
Simplify:
-4x < -24
Divide both sides by -4. Since we are dividing by a negative number, we must flip the inequality sign:
x > (-24) / (-4)
x > 6
Therefore, the solution set for x, representing the cost of each journal, is x > $6. Answer: x > $6.
Which one of these is NOT a characteristic of a proportional graph? (1 point)
• The line passes through the origin (0,0).
• The y values are always larger than the x values.
• The graph is a straight line.
• The value of y/x is the same for all points on the line.
The characteristic that is NOT typical of a proportional graph is: The y values are always larger than the x values.
Sam can type 368 words in 8 minutes. What is the constant of proportionality that relates the number of words typed, y, to the number of minutes it took to type, x?
(Remember that constant of proportionality is k = y/x) (1 point)
• ) 50 words per minute
• 46 words per minute
44 words per minute
• 36 words per minute