Video Transcript
Which of the following is a table
of values for the function 𝑦 equals seven 𝑥 minus three?
Our function is 𝑦 equals seven 𝑥
minus three. And all of the tables have 𝑥
values of zero, one, two, and three. We have to find the 𝑦-values for
each of these 𝑥-values. And we do that by taking the
𝑥-values from the table and plugging them into the equation.
Here we’ve substituted zero for
𝑥. Seven times zero equals zero. Zero minus three equals negative
three. When our 𝑥-value is zero, the
𝑦-value is negative three. We’re going to repeat the same
process, substituting a one for our 𝑥. Seven times one equals seven. Bring down the minus three. Seven minus three is four. And that means when 𝑥 equals one,
𝑦 equals four.
And now we’ll substitute the two
for our 𝑥-value. Seven times two equals 14. 14 minus three equals 11. Whenever 𝑥 is two, 𝑦 will be
equal to 11. And now our final 𝑥-value, 𝑥
equals three. We now have 𝑥 times three minus
three. Seven times three equals 21. 21 minus three equals 18. When 𝑥 equals three, 𝑦 equals
18.
We need to look for the table whose
corresponding 𝑥- and 𝑦-values look like the numbers we found. Table a has a wrong value for 𝑥
equals two. Table c has a wrong value for 𝑥
equals one. Table d has a wrong value where 𝑥
equals zero. And table e has a wrong value for
𝑥 equal three. Only table b has correct
corresponding 𝑥- and 𝑦-values for the function 𝑦 equals seven 𝑥 minus three.
