Mathematics

Q. $\text{Given equation:}300y=500x+1900$ $\text{where 'x' = time (hours)}\text{and 'y' = Intensity (in cd)}$

For plotting the graph of the equation, fill the table with the correct value of $p$ and $q$ obtained from the graph.

1. $p=8andq=5$
2. $p=8andq=13$
3. $p=-8andq=-5$
4. $p=3andq=8$

Q. A teacher earns $₹900$ weekly and get as $₹45$ extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

1. $y=900x+45$
2. $y=945x+45$
3. $y=45x+945$
4. $y=900+45x$

Q. A fruit basket has 2 types of fruit: mangoes (M) and kiwis (K). If the total number of fruits in the basket is 12, the equation representing this is

1. M + K = 12
2. M - K = 12
3. M = C - 12
4. C = M - 12

Q. Find the speed that must be maintained constantly to cover a distance of 11 miles in 20 minutes?

1. 27 miles/hour
2. 33 miles/hour
3. 39 miles/hour
4. 44 miles/hour

Q. The expressions for cost of renting x chairs by two agencies is shown below.
For a total budget of $\$$1075, find the number of chairs that are provided by each Agency 1 and Agency 2 respectively.

1. 75, 50
2. 50, 75
3. 100, 70
4. 70, 100

Q. The equation of the line shown in the graph where "x = Days" and "y = Number of vaccines produced" is

1. $250y=650x+1000$
2. $300y=500x+900$
3. $200y=600x+1000$

Q. A teacher earns $\$90$ weekly and get as $\$4.5$ extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

1. $y=90x+4.5$
2. $y=94.5+4.5x$
   
3. $y=4.5x+94.5$
4. $y=4.5x+90$

Q. The height of a hall is 21.75 ft, find the maximum number of boxes each with height 14 inch that can be stacked one over another in the hall?

1. 14
2. 16
3. 18
4. 20

Q. Given the relation, $d=33+7\times t$, where
d = distance (in yd) and
t = time taken (in h).
So, for t=5 h, the value of d will be .

1. 68 yd
2. 54 yd
3. 89 yd

Q. Interpret the graph and complete the table.


Total budget = $\$$120

If cost of 1 chair = $\$$3 and 1 table =$\$$5, then p = and q = .

1. 10
2. 12
3. 15
4. 18
5. 16