Based on Jamal's estimation, Option 3 will allow him to make the most money in an hour. He will earn $8.00 per hour with Option 3.
Step-by-step explanation:
Option 1;
Per hour wage = $1.00
Per can wage = $0.25
Let,
x be the number of cans recycled in an hour.
A(x) = 0.25x + 1.00 Eqn 1
Option 2;
Per hour wage = $5.00
Per can wage = $0.05
B(x) = 0.05x + 5.00 Eqn 2
Option 3;
No hourly wage
Per can wage = $0.40
C(x) = 0.40x
According to Jamal's estimate, he can recycle 20 cans in an hour,
Therefore,
Putting x= 20 in Eqn 1, Eqn 2 and Eqn 3
Eqn 1;
[tex]A(20) = 0.25(20)+1.00\\A(20) = 5.00+1.00\\A(20) = \$6.00[/tex]
Eqn 2;
[tex]B(20) = 0.05(20)+5.00\\B(20) = 1.00+5.00\\B(20) = \$6.00[/tex]
Eqn 3;
[tex]C(20) = 0.40(20)\\C(20) = \$8.00[/tex]
Based on Jamal's estimation, Option 3 will allow him to make the most money in an hour. He will earn $8.00 per hour with Option 3.
Keywords: function, addition
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