Representing Functions using Table and Ordered Pairs

Q.

A bag contains $50$kg vegetables out of that, $20$kg $280$g were potatoes and $15$kg $210$g were cauliflowers and the rest were onions. Find the weight of onions in the bag.

Q. Cost of a apple juice is $\$0.30$ per $500\text{mL}.$ The vendor charges an additional $5¢$ per serving. Generate a rate chart for the juice.

1. Quantity (mL) Rate (¢)

   $100$	$6$
   $250$	$15$
   $400$	$24$
   $500$	$30$
   $750$	$45$

2. Quantity (mL) Rate (¢)

   $100$	$11$
   $250$	$20$
   $400$	$29$
   $500$	$35$
   $750$	$50$

Q. For the given mapping diagram, generate the table and the ordered pair for the particular function.

1. $x$ $y$

   $-15$	$-5$
   $27$	$9$
   $-12$	$-4$
   $6$	$2$

2. Ordered pair: $(-15,2),(27,-4),(-12,9),(6,-5)$
3. $x$ $y$

   $-15$	$2$
   $27$	$-4$
   $-12$	$9$
   $6$	$-5$

4. Ordered pair: $(-15,-5),(27,9),(-12,-4),(6,2)$

Q. For the given plot, choose the correct table representation and ordered pairs.

1. Ordered pairs: $(2.5,2),(1,-1),(-0.5,-4),(0,0).$
2. $x$ $y$

   $2.5$	$2$
   $1$	$-1$
   $-0.5$	$-4$
   $0$	$0$

3. Ordered pairs: $(1,-1),(0,3),(2,1),(-1,-5).$
4. $x$ $y$

   $1$	$-1$
   $0$	$3$
   $2$	$1$
   $-1$	$-5$

Q. Presentation in which the relationship between input and output values are listed is known as a form of a representation of the function.

1. Ordered pair
2. Graphical
3. Tabular
4. Mapping diagram

Q. Tom defines 𝑥 as a year between 2008 and 2013 and 𝑦 as the total number of smartphones sold that year, in millions. The table shows values of 𝑥 and corresponding 𝑦 values.

Year(x)	2008	2009	2010	2011	2012	2013
Number of smartphones in millions (y)	3.7	17.3	42.4	90	125	153.2

Is 𝑦 a function of 𝑥?

1. Yes
2. No
3. It is impossible to say
4. None of the above

Q. Speed of a car is constant at $60\text{miles/hr}.$ Generate the table to represent the distance covered verse the time required.

1. Distance (miles) Time (hours)

   $90$	$1.5$
   $60$	$1$
   $30$	$0.5$
   $15$	$0.25$

2. Distance (miles) Time (hours)

   $100$	$2$
   $75$	$1.5$
   $5$	$0.1$
   $15$	$0.3$

Q. Form the table representing the function $f:R\to R\{6y=2-27x;x,y\in R\}$ and identify the correct ordered pair.

1. $x$ $y$

   $-1$	$\frac{29}{6}$
   $0$	$\frac{2}{6}$
   $1$	$-\frac{25}{6}$
   $2$	$-\frac{26}{3}$

2. $x$ $y$

   $-3$	$\frac{83}{6}$
   $0$	$\frac{2}{6}$
   $1$	$\frac{25}{6}$
   $3$	$-\frac{79}{6}$

3. Ordered pairs: $(\frac{29}{6},-1),(\frac{2}{6},0),(-\frac{25}{6},1),(-\frac{26}{3},2)$
4. Ordered pairs: $(-1,\frac{29}{6}),(0,\frac{2}{6}),(1,-\frac{25}{6}),(2,-\frac{26}{3})$