Answer:
a)This solution matches with the original equation and its solution
b)This solution matches with the original equation and its solution
c)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
d)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
Step-by-step explanation:
i) Which scenarios can be solved by 1.5x + 2.25 = 12.75. Select all that apply and note the given solution.
therefore 1.5x = 10.5 therefore x = 7
a) let the number be x
therefore if [tex]\frac{3}{2} x + \frac{9}{4} = \frac{51}{4} \Rightarrow 1.5x + 2.25 = 12.75[/tex] then the number x = 7.
This solution matches with the original equation and its solution
b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the
number of mile = x, then the number of miles Juan can ride the taxi for
$12.75 is x = 7.
This solution matches with the original equation and its solution
c)if nine quarters of a number, say x, increased by three halves is fifty one
quarters, the number is x = 5,
[tex]\frac{9}{4} x + \frac{3}{2} = \frac{51}{4} \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5[/tex]
This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
d.) If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the
number of mile = x, then the number of miles Juan can ride the taxi for
$12.75 is x = 5.
[tex]2.25x + 1.5 = 12.75 \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5[/tex]
This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
