the price of gasoline increased 25% from july to august. if c = cost of gasoline in july, write two expressions that represent the price of gas in august.

if you know the cost of gas in july, which expression do you think would be easier to use to calculate the cost of gas in august and why?

1. august price = c + 0.25c

2. august price = 1.25c

Step-by-step explanation:

The problem statement tells us that the price of gas in August is 25% more than in July. Thus, 25% of the July price (0.25c) is added to the July price (c) to get the August price.

  c + 0.25c

The sum in the first part can be simplified by combining the coefficients of c.

  1.25c

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