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1 $70 for 8 dinners rate = _______ unit rate = _______ 2 fraction: ____…

Question

1 $70 for 8 dinners
rate = _____ unit rate = _____
2
fraction: _______
decimal: _______
ratio: ________ percent: _____
3 9 is what percent of 90?
$\frac{\square}{\square} = \frac{\square}{100}$
part$\to\square$
whole$\to\square$
$\leftarrow$percent
4 fiona has $\frac{3}{4}$ pounds of chocolate to give equally to her 6 friends. how much chocolate will each friend get?
5 complete the table and then graph the coordinates.
$y = x - 1$

$x$$y$
9
8

Explanation:

Step1: Define the rate

Rate: $\frac{\$70}{8 \text{ dinners}}$

Step2: Calculate unit rate

Unit rate: $\frac{70}{8} = 8.75$, so $\frac{\$8.75}{1 \text{ dinner}}$

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Step1: Count shaded/total squares

Shaded: 3, Total: 100

Step2: Write fraction, decimal, ratio, percent

Fraction: $\frac{3}{100}$; Decimal: $0.03$; Ratio: $3:97$; Percent: $3\%$

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Step1: Set up percent proportion

$\frac{9}{90} = \frac{p}{100}$

Step2: Solve for $p$

$p = \frac{9 \times 100}{90} = 10$

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Step1: Divide chocolate by friends

$\frac{3}{4} \div 6 = \frac{3}{4} \times \frac{1}{6}$

Step2: Simplify the product

$\frac{3}{24} = \frac{1}{8}$

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Step1: Calculate $y$ for given $x$

For $x=9$: $y=9-1=8$; $x=8$: $y=8-1=7$
(Example additional rows: $x=7, y=6$; $x=6, y=5$; $x=5, y=4$)

Step2: List table coordinates

$x$$y$
98
87
76
65
54

(Graph: Plot points (10,9), (9,8), (8,7), etc., on the grid)

Answer:

  1. rate = $\frac{\$70}{8 \text{ dinners}}$, unit rate = $\frac{\$8.75}{1 \text{ dinner}}$
  2. Fraction: $\frac{3}{100}$, Decimal: $0.03$, Ratio: $3:97$, Percent: $3\%$
  3. $\frac{9}{90} = \frac{10}{100}$, 10%
  4. $\frac{1}{8}$ pounds
  5. Completed table (example):
$x$$y$
98
87
76
65
54

(Graph: Plot the (x,y) points on the provided coordinate grid)