Write the equation for each of the passes and figure out which is the better deal Daily Pass: It costs $25 a day to visit the Fun Factory.
Silver Pass: it costs $60 for the pass but it lets you visit the park for only $10 a day.
Gold Pass: IT costs $120 for the pass but it lets you visit the park for only $5 a day.

Analysis: Jasmine, Fran, and Shamika are planning on going to the Fun Factory over the summer. Jasmine s taking 3 days, Fran is taking 15 days, and Shamika is taking 8 days out of their summer to visit the park. Select which option: Daily Rate, Silver Pass, or Gold Pass would be the best deal for each person.

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

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950