Question

In 1904, a dictionary cost 30 cents. Since then the cost of a dictionary has risen an average of 6 cents per year.

A. Write a linear equation to find the cost C of a dictionary y years after 1904.
B.If this trend conitnues, what will the cost of the dictionary be in 2020?

Answer 1

The linear equation could be y=6x+30

Explanation:

where x represents the number of years since 1904. there fore to find the dictionary after 2004 then you woud make x=100 then you can solve for y which would be the cost of the dictionary in cents.

Answer 2

A. Y = 6X+30, where Y is cost and X is number of years

B. 726 cents

Explanation:

For A,

since, in each year, cost is constantly rising at about 6 cents, so the relation is linear. Cost for the any given year, cost will be raised cost multiply by number of years and remember that you have to add up the initial cost always.

If Y is the cost to be calculated and X is number of years after 1904, the relation will be

Y = 6X + 30

For example, in 1909, the number of years will be '5' and cost will be

Y = (6)(5) + 30

Y = 60 cents

Note that the cost will be in cents, You have to divide it by 100 to get the answer in Dollars ($).

For B.

To find cost in 2020, we have to use the same formula here

For 1904 to 2020, total years are 116

Now,

Y = 6X + 30

Y = (6)(116) + 30

Y = 726 cents