Question

Between 1980 and 1990 , the monthly rent for a one-bedroom apartment increased by $20 per year. In 1987, the rent was $350 per month. Find and equation that gives the monthly rent in dollars,y, in terms of the year,t. Let t=0 correspond to 1980.

Answer 1

T(n) = 210 + 20n

T(n) is the amount of rent in the nth year in dollars

Explanation:

Given the raise of the rent per year is $20

Let the rent in the year 1980 be a and given the time of the year 1980 is t=0

Here it is an arithmetic progression with first term = a and common difference = 20

And the T(n) = a + nd

where T(n) is the nth term

Given the rent on the year 1987 is $350

`350 = a + 7*20`

a = 210

Therefore T(n) = 210 + 20n is the equation