Video: Representing a Given Function in a Table

Which of the following is a table of values for the function 𝑦 = 7π‘₯ βˆ’ 3? [A] Table a [B] Table b [C] Table c [D] Table d [E] Table e.

02:49

Video Transcript

Which of the following is a table of values for the function 𝑦 equals seven π‘₯ minus three?

Our function is 𝑦 equals seven π‘₯ minus three. And all of the tables have π‘₯ values of zero, one, two, and three. We have to find the 𝑦-values for each of these π‘₯-values. And we do that by taking the π‘₯-values from the table and plugging them into the equation.

Here we’ve substituted zero for π‘₯. Seven times zero equals zero. Zero minus three equals negative three. When our π‘₯-value is zero, the 𝑦-value is negative three. We’re going to repeat the same process, substituting a one for our π‘₯. Seven times one equals seven. Bring down the minus three. Seven minus three is four. And that means when π‘₯ equals one, 𝑦 equals four.

And now we’ll substitute the two for our π‘₯-value. Seven times two equals 14. 14 minus three equals 11. Whenever π‘₯ is two, 𝑦 will be equal to 11. And now our final π‘₯-value, π‘₯ equals three. We now have π‘₯ times three minus three. Seven times three equals 21. 21 minus three equals 18. When π‘₯ equals three, 𝑦 equals 18.

We need to look for the table whose corresponding π‘₯- and 𝑦-values look like the numbers we found. Table a has a wrong value for π‘₯ equals two. Table c has a wrong value for π‘₯ equals one. Table d has a wrong value where π‘₯ equals zero. And table e has a wrong value for π‘₯ equal three. Only table b has correct corresponding π‘₯- and 𝑦-values for the function 𝑦 equals seven π‘₯ minus three.

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