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notka56 [123]
3 years ago
15

While eating lunch Cary notices that 16 students in her class chose to eat a hot dog, while 12 students in her class chose to ea

t a hamburger. What is the ratio of students who chose to eat a hot dog to those who chose to eat a hamburger?
i need this answer please
Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0

9514 1404 393

Answer:

  4 : 3

Step-by-step explanation:

The ratio of numbers of students is ...

  hot dog : hamburger = 16 : 12 = 4 : 3

__

To reduce the ratio to lowest terms, remove the common factor of 4 from each number. 16 = 4·4; 12 = 4·3.

Stella [2.4K]3 years ago
3 0

Answer:

The \: ratio \: is \: \: 4 :  3 \:i .e \:  \frac{4}{3}

Step-by-step explanation:

number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hot  \: dog  \: is \: 16. \\ number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hamburger  \: is \: 12. \\

the \: ratio \: is \: number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hot  \: dog  \: \div \\ number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hamburger  \\ so \: the \: ratio \:is  \:  \frac{16}{12}  =  \frac{4}{3}

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Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

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(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

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