Answer:
An inequality to determine Ariel can travel if she has $35 to spend is [tex]1.45+0.55 m \leq 35[/tex] and no. of miles Ariel can travel is 61 or less than 61
Step-by-step explanation:
Given : A cab charges $1.45 for the flat fee and $0.55 for each mile.
To Find : Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.
Solution :
Fixed cost = $1.45
Cost of 1 mile = $0.55
Let m be the no. of miles
So, Cost of m miles = 0.55 m
So, Total cost = 1.45+0.55 m
She has $35 to spend.
So, she can spend $35 or less than 35
So, inequality becomes : [tex]1.45+0.55 m \leq 35[/tex]
[tex]0.55 m \leq 35-1.45[/tex]
[tex]0.55 m \leq 33.55[/tex]
[tex]m \leq \frac{33.55}{0.55}[/tex]
[tex]m \leq 61[/tex]
Hence an inequality to determine Ariel can travel if she has $35 to spend is [tex]1.45+0.55 m \leq 35[/tex] and no. of miles Ariel can travel is 61 or less than 61
