please!!! I need help, this is the last question on my paper, I just want to go play video games for the weekend :'|

Brown rice cost $2 per pound, and beans cost $1 per pound. Alexa has $10 to spend on these items to make a meal for a dinner she is attending. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice that she buys when she spends all her money on this meal.

is the amount of rice purchased a function of the amount of beans purchased? if yes, write a rule ( that starts with R=...) that you can determine the output, R, from a given input, B, If no explain why not?​

Respuesta :

The relationship between both prices is determined by function (R - 1 = B + 2).

Functions

It is clear that for each pound less of brown rice there will be 2 more pounds of beans, with which there is a direct relationship between both quantities, which is determined through a function (R - 1 = B + 2).

Given that brown rice cost $ 2 per pound, and beans cost $ 1 per pound, and Alexa has $ 10 to spend on these items to make a meal for a dinner she is attending, to determine if it is the amount of rice purchased a function of the amount of beans purchased, the following calculation must be performed:

  • 2 x 5 + 0 = 10
  • 2 x 4 + 2 = 10
  • 2 x 3 + 4 = 10
  • 2 x 2 + 6 = 10
  • 2 x 1 + 8 = 10
  • 2 x 0 + 10 = 10

Therefore, it is clear that for each pound less of brown rice there will be 2 more pounds of beans, with which there is a direct relationship between both quantities, which is determined through a function (R - 1 = B + 2).

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