A Seventh Grade Math class surveyed the school to determine which car their teacher should purchase. The results are shown in the table.
Car Survey Results
Truck | 22
SUV | 12
Sports car | 19
Sedan | 17
70 people were surveyed. If 2,000 people were surveyed, about how many would choose the SUV? Please explain how to get to the answer and what it is.
(12/70) is the fraction that chooses SUV
so
(12/70) (2,000)
12/70 = 0.1714
0.1714 * 2000 = 342.9 = 343
Thank you! I had this same answer, but it's better to double-check.
To determine about how many people would choose the SUV if 2,000 people were surveyed, we can use the concept of proportions.
First, let's find the proportion of people who chose the SUV in the original survey.
The total number of people surveyed in the original survey is 70. The number of people who chose the SUV is 12.
So, the proportion of people who chose the SUV can be calculated as:
Proportion = Number of people who chose SUV / Total number of people surveyed
Proportion = 12 / 70
Next, we can use this proportion to estimate the number of people who would choose the SUV if 2,000 people were surveyed.
Approximate number of people who would choose SUV = Proportion * Total number of people surveyed
Approximate number of people who would choose SUV = (12 / 70) * 2,000
Simplifying the expression:
Approximate number of people who would choose SUV = (12 * 2,000) / 70
Approximate number of people who would choose SUV ≈ 342.857
Therefore, if 2,000 people were surveyed, we could estimate that about 343 people would choose the SUV.