### Video Transcript

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

Our function is π¦ equals seven π₯
minus three. And all of the tables have π₯
values of zero, one, two, and three. We have to find the π¦-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 weβve substituted zero for
π₯. Seven times zero equals zero. Zero minus three equals negative
three. When our π₯-value is zero, the
π¦-value is negative three. Weβre 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,
π¦ equals four.

And now weβll substitute the two
for our π₯-value. Seven times two equals 14. 14 minus three equals 11. Whenever π₯ is two, π¦ 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, π¦ equals
18.

We need to look for the table whose
corresponding π₯- and π¦-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 π¦-values for the function π¦ equals seven π₯ minus three.