Y= 1/8 x + 10
You do 8-11/-16-8= -3/-24= 1/8 that’s your slope
Then to get y intercept you plug in ur slope and coordinates of (8,11) into point slope form. And you get that the y intercept is 10.
Answer:
w < 82/5
Step-by-step explanation:
5w + 8 < 90
5w < 82
w < 82/5
y < - 8 or y > 4
inequalities of the form | x | > a always have solutions of the form
x < - a or x > a
we have to solve
y + 2 < - 6 or y + 2 > 6
y + 2 < - 6 ( subtract 2 from both sides )
y < - 8
or
y + 2 > 6 ( subtract 2 from both sides )
y > 4
these can be combined using interval notation
y ∈ (- ∞, - 8 ) ∪ (4, ∞ )
As a check
substitute chosen values of x from each interval
y = - 10 : | - 10 + 2 | = | - 8 | = 8 > 6 this is true
y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true
Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

We can solve the linear equation by isolating the "x" variable on the left side.

Marco's travel must be shorter or equal to 92 miles.