Question

1 8 tickets for $44 (try it) rate = _ unit rate = _ 2 fraction: _ decimal: _ ratio: _ percent: _ 3 18 is 45% of what? part→ / whole→ = / 100 ←percent 4 a fair charges $11 to enter and $0.50 per ticket. write an algebraic expression to represent the total amount spent. 5 complete the table and then graph the coordinates. y + 1 = x

Explanation:

Step1: Correct unit rate for Q1

Calculate cost per ticket:
$\frac{44}{8} = 5.5$
So unit rate is $\$5.50$ per ticket.

Step2: Analyze grid for Q2

Grid has 100 squares, 24 shaded.

• Fraction: $\frac{24}{100} = \frac{6}{25}$
• Decimal: $\frac{24}{100} = 0.24$
• Ratio: $24:100 = 6:25$
• Percent: $24\%$

Step3: Solve percentage for Q3

Set up proportion:
$\frac{18}{x} = \frac{45}{100}$
Cross multiply: $45x = 18 \times 100$
Solve for $x$: $x = \frac{1800}{45} = 40$
Fill blanks: part=18, whole=40, percent=45.

Step4: Write expression for Q4

Let $t$ = number of tickets. Total cost = entry fee + (cost per ticket × tickets):
$11 + 0.50t$

Step5: Complete table for Q5

Use $y = x - 1$:

• $x=2$: $y=2-1=1$
• $x=3$: $y=3-1=2$
• $x=4$: $y=4-1=3$
• $x=5$: $y=5-1=4$
• $x=6$: $y=6-1=5$

Coordinates to graph: $(1,0), (2,1), (3,2), (4,3), (5,4), (6,5)$

Answer:

1. rate = $44:8$, unit rate = $\$5.50$ per ticket
2. Fraction: $\frac{6}{25}$, Decimal: $0.24$, Ratio: $6:25$, Percent: $24\%$
3. $\frac{18}{40} = \frac{45}{100}$; 18 is 45% of 40
4. $11 + 0.50t$ (where $t$ = number of tickets)
5. Completed table:

$x$	$y$
2	1
3	2
4	3
5	4
6	5

Graph: Plot the coordinates $(1,0), (2,1), (3,2), (4,3), (5,4), (6,5)$ and draw a straight line through them.