Which term describes how to determine if a relation given in a table is a function

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

A. If none of the output values are repeated, the relation is a function

Step-by-step explanation:

The reason why A is correct stems from the concept of the vertical line test. If each x-value has their own respective output (y-value), then the relation is a function.

Choice B just states that if none of the x-values are repeated. then the relation is a function. This is not correct because it doesnt follow the vertical line test, which analyzes if any y-values are being repeated

Choice C and D doesnt have any correlation with the vertical line test because an x-value doesnt have to equal a y-value to make the relation a function. Vice versa for any y value being equal to any x-value.

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A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the dr

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Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of $3\ \frac{2}{3}$ feet per minute. This means that the drawbridge rises $3\ \frac{2}{3}$ in a minutes.

Convert from mixed fraction to decimal number:

$3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft$

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

$time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min$ or $13\ \frac{7}{11}\ min$