The cost to rent a
10 ft
by
10 ft
storage space is
$80
per month plus a nonrefundable deposit of
$110
.
(a) Write a linear equation to compute the cost,
y
, of renting a
10 ft
by
10 ft
space for
x
months.
(b) What is the cost of renting such a storage space for
1
year (
12
months)?
(a) The linear equation to compute the cost, y, of renting a 10 ft by 10 ft space for x months would be:
y = 80x + 110
(b) To find the cost of renting such a storage space for 1 year (12 months), we substitute x = 12 into the equation:
y = 80(12) + 110
y = 960 + 110
y = 1070
So, the cost of renting a 10 ft by 10 ft storage space for 1 year is $1070.
(a) To write a linear equation, we need to consider two components: the monthly cost and the deposit.
The monthly cost is given as $80 per month. This means that regardless of the number of months, the monthly cost will remain constant at $80.
The deposit is a one-time, nonrefundable amount of $110. Therefore, it does not change with the number of months.
The total cost, y, of renting a 10ft by 10ft storage space for x months can be calculated using the equation:
y = (monthly cost * number of months) + deposit
Substituting the given values, we have:
y = (80 * x) + 110
Hence, the linear equation to compute the cost, y, of renting a 10ft by 10ft space for x months is y = 80x + 110.
(b) To find the cost of renting such a storage space for 1 year (12 months), we substitute x = 12 into the equation we obtained:
y = 80(12) + 110
= 960 + 110
= $1070
Therefore, the cost of renting a 10ft by 10ft storage space for 1 year is $1070.
(a) To compute the cost, y, of renting a 10 ft by 10 ft space for x months, we need to consider the monthly cost and the nonrefundable deposit.
The monthly cost is $80.
The nonrefundable deposit is $110.
So the linear equation to compute the cost, y, would be:
y = 80x + 110.
(b) To find the cost of renting such a storage space for 1 year (12 months), we substitute x = 12 into the equation:
y = 80(12) + 110
y = 960 + 110
y = 1070.
Therefore, the cost of renting a 10 ft by 10 ft storage space for 1 year (12 months) would be $1070.