A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?

$20.25 - x; $15

$20.25 + x; $25.50

$20.25 - $5.25x; $58.50

$20.25 + $5.25x; $99

Question

Mathematics

Amy Hobbs

11 December, 23:01

A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?

$20.25 - x; $15

$20.25 + x; $25.50

$20.25 - $5.25x; $58.50

$20.25 + $5.25x; $99

+1

Answers (2)

Know the Answer?

Haley Michael · Answer 1

99$

Step-by-step explanation:

you take the 5.25$ per hour and multiply it by the 15 hours, and then you add the 20.25$ per month

Israel White · Answer 2

suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,

2x+y=25

50x+30y=690

to get the values of x and y we solve the quadratic equation given;

from the top equation:

y=25-2x ... i

substituting i in our second equation we get:

50x+30 (25-2x) = 690

50x+750-60x=690

-10x=-60

thus;

x=6

hence we conclude that the number of 2 hours classes are 6 hours