Question 1 (1 point) A locksmith charges $25 to make a house call and $15 for each lock re-keyed. Another locksmith charges $10 to make a house call and $20 for each lock that is re-keyed. Write a system of equations and use them to determine the number of locks where the total cost is the same. What will be the total cost? (Hint: write 2 equations of the form y = mx + b)

The number of locks will be 3

The total cost = $50

Step-by-step explanation:

We are trying to write the equations of the cost in the form of the equation of a straight line

The equation will be;

C = F + 15r

where F is the price for house lock , C is total cost and r is the amount per rekey

For the first locksmith;

His equation will be ;

C = 25 + 15r

For the second

C = 10 + 20r

If the total cost is the same for both;

then;

10 + 20r = 25 + 15r

20r - 15r = 25 - 10

5r = 15

r = 15/5 = 3

For the total cost to be same, number of locks is 3

The total cost will be ;

C = 20 + 10(3) = 20 + 30 = $50

step-by-step explanation: