write a inequality

Question

Miyoko's goal is to earn more than $950 this week. She earns $250 for every day she works as a cryptographer and earns $180 for every day she works as a geologist. Write an inequality that represents the number of days Miyoko should work as a cryptographer (C) and as a geologist (G) to achieve her goal.

Answer 1

$250*C + $180*G = $950   

 

 

 

Solving for G, it is G =  (950 - 250C)/180

 

Solving for C, it is   C = (950 - 180G)/250

 

The following tables come from these two formulas,

for possible values of G and C

 

C G                       G       C
0 5.277777778       0       3.8
1 3.888888889       1       3.08
2 2.5                     2        2.36
3 1.111111111       3       1.64
4 0.92
5 0.2

 

For example, 2 days of cryptographing means 2.5 days of geology.

1 day of the geology will require just over 3 days of cryptography