Mathematical Modeling Questions for Secondary School Curriculum | Page 30

THE WATER BILL Process :
· In subparagraph a ) we take the fixed part of the table and add it with the variable part , that part is multiplied by 0 because we don ´ t consume water and multiply it by VAT which is 10 %. We do this same process in all , but the distribution part that according to what we have spent we have to choose between three different blocks and in garbage collection since we don ´ t have to increase the VAT .
· In subparagraph b ) we take the fixed part of the table and add it with the variable part , that part is multiplied by 23 because the water consumption is 23m ³ and multiply it by the VAT which is 10 %. We do this same process in all but , the distribution part that as we have spent 23m ³ we have to choose block 1 multiplied by the said cubic meters and in the garbage collection since we don ´ t have to increase the VAT .
· In subparagraph c ) we take the fixed part of the table and add it with the variable part , that part is multiplied by 40 because the water consumption is 40m ³ and multiply it by the VAT which is 10 %. We do this same process in all but , the distribution part that as we have spent 40m ³ we have to choose block 1 and 2 , in this case we have to start the 40 meters in two blocks , that is , 35 in block 1 and 5 in block 2 , add and multiply by VAT and in garbage collection since we don ´ t have to increase the VAT .
· In subparagraph d ) we take the fixed part of the table and add it with the variable part , that part is multiplied by 53 because the water consumption is 53 m ³ and multiply it by the VAT which is 10 %. We do this same process in all but , the distribution part that as we have spent 53 m ³ we have to choose block 1 and 2 , in this case we have to start the 53 meters in three blocks , that is , 35 in block 1 , 15 in block 2 and 3 in block 3 , add and multiply by VAT and in garbage collection since we don ´ t have to increase the VAT .
· In subparagraph e ) we have to take out which block of the distribution are the € 59 , 94 , we know that it is in block 1 . We removed the variable part with VAT ( 29 , 04 ) which are 30 , 9 . 30 , 9 we divide it by VAT ( 1 , 1 ) which is 28 , 09 without VAT . We take out what is the variable part to know the result of 1 m ³ which is 0 , 9365 . The VAT-free part ( 28 , 09 ) is divided by the result of 1 m ³ ( 0 , 9365 ) which result are 30 m ³ consumed .
Student : Goizane Jiménez Izquierdo , Spain