Erin is saving up for a $6000 dormitory. She earns 70 dollars a day, and currently has $1645 in her bank account. How long (in days) will it take for Erin to reach her goals? Find an equation, solve.

Answer 1

hi,

y = mx + b in this case y = 70x + 1645 now she needs $6000 so

6000 = 70x + 1645 ====> 6000 - 1645 = 70x

4355 = 70 x ====> both sides divided by 70

62.21 = x it means after 62 days she reach to her goal

I hope it is useful,

Minoo

Answer 2

6000 = 1645 +70d

Can you solve for d and answer?

Answer 3

We want to reach 6000, so we will set an equation that is equal to 6000.

So we have 6000 = ?

Then we are given that we already have 1645, so we will include that on the right side.

6000 = 1645 + ?

We are also given that she earns 70 a day. That means 1 day = $70, 2 days = 70*2 = $140, 3 days = 70*3 = $210, ... This can be written with x (number of days) as 70*x or 70x. So the equation is what we have plus what we will be getting every day.

6000 = 1645 + 70x

To solve for x, we can first subtract 1645 from both sides (when solving for a variable, we do the opposite of the order of operation, so we subtract first instead of divide).

4355 = 70x

Then we can divide both sides by 70.

4355/70 = x

x is about 62.2. Therefore, the goal will be achieved in 63 days.