Question

A taxicab charges $1.50 for the flat fee and $0.50 for each mile. write an inequality to determine how many miles sharon can travel if she has $25 to spend. $0.50 $1.50x ≤ $25 $0.50 $1.50x ≥ $25 $1.50 $0.50x ≤ $25 $1.50 $0.50x ≥ $25

Answer 1

The option $1.50+0.50x\leq 25;x\leq 47$ is the correct option.

A flat fee of $1.50 is charged by the taxicab with an additional $0.50 for each mile.

If she has $25 to spend, the miles travelled will be:

$1.50+0.50(x-1)\leq 25$

$1.50 + 0.50x - 0.50 < 25$

Solving further,

$0.50x < 24$

Therefore,

$x < 48$

Thus, miles less than and equal to 47 can be travelled.

$1.50+0.50x\leq 25;x\leq 47$ is the answer.

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