Ataxi company change $2.25 for the first 5 miles and $0.75 for each mile. if a passenger spent $6 on a trip, how many miles did he travel?

10 miles

Step-by-step explanation:

Setting up an equation where the variable 'x' = the number of miles, we can find the total mileage for the passenger's trip:

$6 = $0.75x + $2.25

$6 = the total amount of the trip

$0.75 = the cost for each mile after the initial 5 miles

$2.25 = the flat fee for the first 5 miles

Solve for 'x', subtract $2.25 from both sides: 6 - 2.25 = 0.75x + 2.25 - 2.25 or 3.75 = 0.75x

Divide by 0.75:  3.75/0.75 = 0.75x/0.75 or x = 5 miles

Since the passenger was charged in additional 5 miles, then the total mileage is 10 miles.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is