Answer:
12 hours
Step-by-step explanation:
Step one:
given data
base fee= $60
charge per hour= $15
let the number of hours the plumber work be x
the linear function for the charge is the equation of line.
that is y=mx+c
Step two:
given that y=$240
240=15x+60
240-60=15x
180=15x
divide both sides by 15 we have
x=180/15
x=12
<u>The number of hours is 12</u>
Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y

Answer:
(a) 
(b) 
Step-by-step explanation:
Given

Solving (a): The constant of proportionality:
Pick any two corresponding x and y values


The constant of proportionality k is:




Solving (b): The equation
In (a), we have:

k can also be expressed as:

Substitute values for x1, y1 and k

Cross multiply:

Open bracket

Add 10 to both sides


I think the answer is $166,742.24
Answer:
E. 3x + 6 = 2x + 9
Step-by-step explanation:
The total number of charms that Lydia has in term of x
6 + 3x
The total number of charms that Claudia has in term of x
9 + 2x
Since they have the same number of charms, we can set these 2 equations above equals to each other
6 + 3x = 9 + 2x
x = 9-6 = 3
So E is the correct answer
Answer: There is not enough information to answer this question.
Step-by-step explanation: