The cost of a taxi ride is 5 dollars plus 50 cents per mile. write an algebraic explanation that models the cost of a taxi ride of m miles

Step-by-step explanation:

I will call the total cost of the ride by the letter , and the number of miles (acording to the problem) is .

For each mile 0.5 cents are charged, so if m miles are traveled, will be charged for those miles.

Then the total cost of the taxi ride is

the 5 in the equation is because the taxi ride is 5 dollars initially, and then the 0.5*m is the cost for the miles traveled.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3