Question

Use the given letters to write the answer.

(i) There are ‘a’ trees in the village Lat. If the number of trees increases every year by ‘b’, then how many trees will there be after ‘x’ years?

(ii) For the parade there are y students in each row and x such row are formed. Then, how many students are there for the parade in all ?

(iii) The tens and units place of a two digit number is m and n respectively. Write the polynomial which represents the two digit number.

Answer 1

(i)
Initial number of trees in the village = a

Increase in the number of trees every year = b

∴ Number of trees in the village after x years

= Initial number of trees in the village + Increase in the number of trees every year × x

= a + bx

Thus, the number of trees after x years is a + bx.

(ii)
Number of students in each row = y

Number of rows = x

∴ Total number of students in the parade = Number of students in each row × Number of rows = y × x = yx = xy

Thus, there are in all xy students for the parade.

(iii)
Digit at the tens place = m

Digit at the units place = n

∴ Two digit number = Digit at the tens place × 10 + Digit at the units place = m × 10 + n = 10m + n

Thus, the polynomial which represents the two digit number is 10m + n.