Icant fail
miguel bikes 25 km per hour and starts at mile 10 gabby bikes 30 km per hour and starts at mile 0 at what time and distance will gabby catch up with miguel
choose two answers one fore the system of equations that represents this situation and one for the answer to the question
a) miguel: d=25t+10
gabby: d=30t
b) gabby will catch up with miguel in 2 hours at a distance of 60 miles
c) gabby will catch up with miguel in 1.25 at a distance of 37.5 miles
d) miguel: d=10t+25
gabby: d= 30t

Hello :)

So we are given Miguel bikes 25 km per hour.

Since it is per hour you can take a letter variable (in this case they used t) and multiply it by 25.

Then we are given the fact that he starts at mile 10, we would add this too the 25t because it is where he starts.

So Miguel's system of equations would be; d=25t+10

Now, for gabby we are given the fact that she bikes 30 km per hour. We do the same thing that we did with Miguel we take that number (30) and multiply it by a variable.

then we are given that she starts at 0, so we don't have to include this number.  

So Gabby's system of equations would be; d=30t

the answer here would be A

Hope this helps :)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

60%