Question

A scatter plot was made to show the number of homes in a town based on the year. A trend line was drawn on the graph with an equation of y = 84x + 625 where x is the number of years since 1995 and y is the total number of homes in the town. Use this information to answer questions 10 and 11.
10: Predict the number of homes in 2015.

11: Predict what year the town will have 1,213 homes.

Answer 1

Answer:

a; 2,305 houses

b; Year 2002

Step-by-step explanation:

In this question, we are tasked with calculating the number of homes in 2015 and the year when the town will have 1213 houses.

To work with both questions, we will need to go back to the equation of the line

y = 84x + 625

To the first question, since we want to find the number of houses in 2015, we are definitely looking to calculate the value of y here.

hence y = 84(2015-1995) + 625

y = 84(20) + 625

y = 2,305 houses

Kindly note that we had to subtract 1995 from 2015 because we were made to know that 1995 is the y we start to count the number of years making it a point that whatever x value we want to calculate, we need to subtract the value

Now to the second part, 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