Ataxi cab charges $0.45 per mile in addition to a $2.75 flat rate fee. susie has $15 to spend on a taxi cab ride. the taxi driver will not give anyone a ride unless they are going somewhere that is more than 1 mile away. model the scenario with a system of inequalities.

.45x+2.75 ≤ 15

.45x+y ≤ 2.75

x is the per mile

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions