Math  /  Data & Statistics

QuestionPart 3 of 3
In 9-11, use the table. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Distance Driven Using } \\ \hline \multicolumn{2}{|c|}{ Gallons of Gasoline } \\ \hline Vehicle & Miles \\ \hline Car & 160 \\ \hline Van & 60 \\ \hline Motorcycle & 560 \\ \hline \end{tabular}
9. Stella used 25 gallons of gas driving to and from school this week in a van. How many miles did she drive this week? Explain how you know.

Since the van travels 6 miles using 1 gallon of gasoline, Stella drove 150 miles using 25 gallons of gasoline. (Type whole numbers.)
10. Tim says he can travel farther on 5 gallons of gasoline using his motorcycle than he can on 15 gallons of gasoline using his car. Is Tim correct? Explain.

Since the motorcycle travels 280 miles using 5 gallons of gasoline and the car travels 240 miles using 15 gallons of gasoline, Tim is correct. (Type whole numbers.)
11. A car has a gasoline tank that holds 12 gallons of gasoline. Can someone use this car to make a 191-mile trip on 1 tank of gasoline? Explain.

Since the car travels \square miles using 12 gallons of gasoline, the car \square make the trip. (Type a whole number.) Clear all
Question 14 \square of 16

Studdy Solution

STEP 1

What is this asking? We need to figure out distances driven based on gas usage for a car, van, and motorcycle, using information from a table. Watch out! Make sure to use the correct mileage for each vehicle and don't mix them up!
Also, pay close attention to how many gallons of gas are being used in each scenario.

STEP 2

1. Stella's Van Trip
2. Tim's Comparison
3. One-Tank Trip

STEP 3

Alright, so Stella's driving a van, and the table tells us the van gets **60 miles** per gallon.
She used **25 gallons**, so we need to multiply those together to get the total miles.

STEP 4

60 miles/gallon25 gallons=1500 miles 60 \ \text{miles/gallon} \cdot 25 \ \text{gallons} = 1500 \ \text{miles} Stella drove a whopping **1500 miles** that week!

STEP 5

Let's see about Tim's claim.
First, we'll figure out how far his motorcycle goes on **5 gallons**.
The table says the motorcycle gets **560 miles** per gallon.

STEP 6

560 miles/gallon5 gallons=2800 miles 560 \ \text{miles/gallon} \cdot 5 \ \text{gallons} = 2800 \ \text{miles} So, the motorcycle goes **2800 miles** on 5 gallons.

STEP 7

Now, let's check the car's distance on **15 gallons**.
The table says the car gets **160 miles** per gallon.

STEP 8

160 miles/gallon15 gallons=2400 miles 160 \ \text{miles/gallon} \cdot 15 \ \text{gallons} = 2400 \ \text{miles} The car goes **2400 miles** on 15 gallons.

STEP 9

Tim said the motorcycle goes farther on 5 gallons than the car on 15 gallons.
Since **2800 miles** is greater than **2400 miles**, Tim is absolutely right!

STEP 10

The car's tank holds **12 gallons**, and it gets **160 miles** per gallon.
We want to see if that's enough for a **191-mile** trip.

STEP 11

160 miles/gallon12 gallons=1920 miles 160 \ \text{miles/gallon} \cdot 12 \ \text{gallons} = 1920 \ \text{miles} With a full tank, the car can go **1920 miles**.

STEP 12

Since **1920 miles** is more than the **191 miles** needed for the trip, the car can definitely make the trip on one tank of gas!

STEP 13

Stella drove **1500 miles**.
Tim *is* correct.
The car *can* make the 191-mile trip on one tank.

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