A motorcycle can go 50 miles on 1 gallon of gas. How many gallons will be used to go 150 km? I mile is about 1.6 km. Round to the nearest gallon.

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile 1.6 km

                         x         150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon 50 mi

                         x             93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

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

12

step-by-step explanation: