A gym charges a one-time registration fee and then $25 per month. After 6 months, a customer has paid $205 in total. Write a linear model for total cost (C) in terms of months (m), and find the registration fee.
Linear Relationships (Hard)

Quiz
•
Mathematics
•
11th Grade
•
Hard
Jurat Juratov
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
C = 25m + 50; registration fee = $50
C = 30m + 25; registration fee = $25
C = 25m + 30; registration fee = $30
C = 20m + 55; registration fee = $55
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function P(t) = 1250 + 43t models the number of books sold t years after 1997. Given that P(18) = 1974, what does the constant term 1250 represent in this model?
Books sold 18 years after 1997
Initial number of books sold in 1997
Increase in books sold per year
Total books sold over 18 years
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A worker paints fences at a constant rate. After painting 3 fences, he has worked for 4 hours. After 9 fences, he has worked 10 hours. Create a linear model to represent time (t) as a function of fences painted (f). How long will it take to paint 15 fences?
t = f + 2; 17 hours
t = f + 1; 16 hours
t = f + 3; 18 hours
t = f + 0.5; 15.5 hours
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A repair technician charges $80 for the first hour, which includes a $20 travel fee. Each additional hour costs $60. What is the linear model for total cost (C) after h hours of work (where h ≥ 1)?
C = 80h + 20
C = 60(h – 1) + 80
C = 60h + 20
C = 60h + 80
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A bus starts with 40 passengers. At every stop, 8 passengers get off. If there are s stops, write a linear equation for the number of passengers left (P), and find how many are left after 7 stops.
P = 40 – 8s;
8 passengers
P = –8s + 48;
0 passengers
P = 8s – 40;
16 passengers
P = 40 – 8s;
16 passengers
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A phone plan offers 2 GB of free data. After that, users pay $10 per additional GB used. If a user pays $80 in a month, how many total GBs did they use?
12
6
8
10
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A line has the equation . It passes through the points (0, 1) and (5, 11).What is the value of a + b?
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