Question

question 2 of 10
jamal is comparing his transportation options for an upcoming trip. hes considering a rental car and a taxi service. based on his planned routes during his trip, he expects a taxi service would cost about $128. jamal could also get a rental car for a daily rate and unlimited miles. if jamals trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?
a. graph with arrow pointing left and an open - circle at 25
b. graph with arrow pointing left and a closed - circle at 25
c. graph with arrow pointing right and an open - circle at 25
d. graph with arrow pointing left and an open - circle at 31

Explanation:

Step1: Set up the cost - inequality

Let the daily rental rate of the car be $x$. The total cost of the rental car for 4 days with a gas cost of $24$ is $4x + 24$. We want this cost to be less than the cost of the taxi service, which is $128$. So the inequality is $4x+24<128$.

Step2: Solve the inequality for $x$

Subtract 24 from both sides of the inequality: $4x+24 - 24<128 - 24$, which simplifies to $4x<104$. Then divide both sides by 4: $\frac{4x}{4}<\frac{104}{4}$, so $x < 26$.

Answer:

A. 19, 21, 23, 25 (open - circle at 25 and arrow pointing left since $x<26$)