Question

A scatter Plot was made to show the number of homes in a town based on the year. The line of best fit drawn on the graph is y = 84x + 625 where x is the number of years since 1995 and y is the total number of homes in the town.

Predict what year the town would have 1,213 homes:

Answer 1

Year 2002

Explanation:

In this question, we are concerned with knowing/predicting the year in which the town would have that number of houses.

Now, to calculate this, we need to go back to the line of best fit where we have;

y = 84x + 625

with y being the total number of houses. Thus we insert the value 1213 here for y so as to get x

1213 = 84x + 625

84x = 1213 - 625

84x = 588

x = 588/84

x = 7 years

Now from the question, we were made to know that x is the number of years since 1995. This means that the year in which the number of houses will be 1213 will be 1995 + 7 years = 2002