The simultaneous Equations for both total costs are;
Company A: y = 45x + 150
Company B: y = 50x + 125
Thus, both companies charge the same amount of money for food truck permits for 5 months
How to find the equation of the total charges?
We are told that;
Company A charges a one time fee of $150 and $45 per month.
Company B charges a one time fee of $125 and $50 per month.
Thus, using the concept of the equatiom of a line In slope intercept form, we have:
Company A: y = 45x + 150
Company B: y = 50x + 125
let's use the number 5 for x as an example
45(5) + 150 = 375
50(5) + 125 = 375
So both companies charge the same amount of money for food truck permits for 5 months.
Complete question is;
Two companies allow you to pay monthly for your food truck permits. Company A charges a one time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. Write an equation or a system of equations and explain what each solution tells you about the situation