Concept explainers
(a)
To Write:
The linear equation in slope-intercept form to find the total cost C for p people.
(a)
Answer to Problem 9CYU
The total cost C for p people can be represented by the linear equation :
Explanation of Solution
Given Information:
Ten people from a local youth group went to Black Hills Whitewater Rafting Tour Company for a one-day rafting trip. The group paid $425.
Let
C = Total cost = $425
p = Number of people = 10
b = The tour fee
m = Guide fee per person = $35
Formula Used:
Equation of slope-intercept form of a line is given by:
Where
Calculation:
First , we form the equation :
Let
C = Total cost = $425
p = Number of people = 10
b = The tour fee
m = Guide fee per person = $35
Now, we form the equation :
Guide fee per person = $35
So, guide fee for p person = 35p
The tour fee = b
So, the linear equation ( slope-intercept form) of the total cost C for p people :
Now , we find b by substituting the values in (2)
Hence, the tour fee = $75
Substituting the value in equation (2)
The required equation of the total cost C for p people :
(b)
To Find : Cost for 15 people.
(b)
Answer to Problem 9CYU
Cost for 15 people = $600
Explanation of Solution
Given Information:
From part (a) ,
The total cost C for p people can be represented by the linear equation :
Calculate:
Cost for 15 people:
Hence, cost for 15 people = $600.
Chapter 4 Solutions
Algebra 1
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