SOLUTION: . Mr. Dodson is having the exterior of his
house painted. The painters charge
$35 per hour plus the cost of materials.
After 20 hours of work, Mr. Dodson
owes the painters $840
Algebra ->
College
-> Linear Algebra
-> SOLUTION: . Mr. Dodson is having the exterior of his
house painted. The painters charge
$35 per hour plus the cost of materials.
After 20 hours of work, Mr. Dodson
owes the painters $840
Log On
Question 1189337: . Mr. Dodson is having the exterior of his
house painted. The painters charge
$35 per hour plus the cost of materials.
After 20 hours of work, Mr. Dodson
owes the painters $840. Assume the
relationship is linear. Find and
interpret the rate of change and the
initial value Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! the slope intercept form of the equation of a straight line is y = mx + b.
m is the slope
b is the y-intercept.
in this problem, y represents the total cost and x represents+ the number of hours.
the formula becom3es y = 35 * x + b
when y = 840 and x = 20, the formula becomes 840 = 35 * 20 + b
simplify to get 840 = 700 + b
solve for b to get b = 140.
the additional cost of the material can be assumed to be part of the up front cost which is the 140 dollars.
that's the initial value.
the rate of change is 35 dollars.
that the cost per hour.
if the painters take 20 hours to finish the job, then the total cost is 840 because 20 * 35 + 140 = 840.
