Problema Solution
Mallie takes 7 dance lessons for $82. The cost for 11 dance lessons will cost $122.
A.) Write an equation to find the cost C for L lessons
B.) How much will Mallie be charged if she went to 15 dance lessons?
C.) How many lessons would Mallie have to attendif she is charged $102?
Answer provided by our tutors
A.) we will assume the equation is linear:
C = aL + b, where a and b are constants
Mallie takes 7 dance lessons for $82.
82 = 7a + b
The cost for 11 dance lessons will cost $122.
122 = 11a + b
by solving the system of equations:
7a + b = 82
11a + b = 122
we find:
a = 10
b = 12
click here to see the step by step solution of the system of equations:
the equation for the cost is:
C = 10L + 12
B.) How much will Mallie be charged if she went to 15 dance lessons?
L = 15 lessons
C = 10*15 + 12
C = $162
Mallie will be charged $162 for 15 dance lessons.
C.) How many lessons would Mallie have to attend if she is charged $102?
C = $102, we need to find L
102 = 10L + 12
L = (102 - 12)/10
L = 9 lessons
Mallie would have to attend 9 lessons for $102.