2. Peggy wants to give piano lessons at her home. She has 10 students per week for
a half-hour lesson, and 5 students per
week for a full-hour lesson. Which
expression below represents how many
dollars she will earn per week at a rate
of $10 per half-hour lesson and $16 per
full-hour lesson?
of
(2)
(1) 10(10) + 5(10)
(2) 10(16) + 5(10)
(3) 10(10) + 5(16)
(4) 10(16) + 5(8)
(5) 15(10) + 5(10)
5

3

This is because you multiply like terms. Since the half hour earnings should be multiplied with the half hour class amount, you will get how much money she will make. If you multiply it all together, you should get $180.

10x10 + 5x16

100 + 80

$180 (make sure you label your answer)

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b