Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?

$122.19

Step-by-step explanation:

Hi, to answer this, first we have to calculate the additional KB that Astrid used:

KB used- KB limit=

6,978-5,000 = 1,978

Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000(x) and the cost per KB (0.037).

Cost = 49+ 0.037 x

Substituting x =1,978

C = 49+ 0.037 (1,978)

C =49+73.186

C=$122.19

Feel free to ask for more if needed or if you did not understand something.  

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you