Remember that when you find 30% of the number you have to subtract the 30% from your original $90 because it is 30% off the original price.
There are 2 ways you can write this.
You can either do /1 or /100
The most used is
|3.5| = 3.5
Any negative or positive number will always have an absolute value that is positive.
For example, | -3.5| = 3.5
3.5 can also be expressed a fraction.
3.5 * 2/2 = 7/2
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.
This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
