<h3><u>
Answer:</u></h3>
Hence, the equation of line is:
y= -6x
<h3><u>
Step-by-step explanation:</u></h3>
Clearly from the graph we could see that the line passes through the point (0,0) and (-1/2,3).
Also we know that the equation of a line passing through (a,b) and (c,d) is given as:

Here we have:
(a,b)=(0,0) and (c,d)=(-1/2,3)
Hence, the equation of line is:

Hence, the equation of line is:
y= -6x
Answer:
1. 24 km/hour
2. 48 km
Step-by-step explanation:
1 mile = 1.6 km
cyclist = 15 miles/ hour
we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.
this is because
miles * km / miles = km as the miles cancel out and km is left in the numerator
thus,
1 mile = 1.6 km
divide both sides by 1.6 km to get 1 on a side
1 mile / 1.6 km = 1
alternatively, divide both sides by 1 mile to get 1 on a side
1.6 km / 1 mile = 1
since we want miles on the bottom, we choose the second option
cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour
24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km
Answer: Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes
Step-by-step explanation:
Let m be the number of minutes of phone use.
We can convert $35 and $36 to 3500 cents and 3600 cents respectively.
Then, in Plan A, it would cost 3500 + 6m and in Plan B, it would cost 3600 + 5m.
Since we want Plan A to cost less, we can set up an inequality saying:

We can subtract 3500 + 5m from both sides:

Therefore, Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes.
Move everything to one side, it becomes negative
3x+4-4x-5
=-x-1
The domain would be (x+3) (x+4) you basically just cancel out both of the (x-5)