Answer:
a)
[tex]\displaystyle\frac{8}{128}[/tex]
b)
[tex]\displaystyle\frac{12}{192}[/tex]
Step-by-step explanation:
We are given the following information in the question.
Connor earns $24 working every 1.5 hours.
Thus, we can write the ration for hours to dollars earned as:
[tex]\text{Ratio} = \displaystyle\frac{\text{Hours}}{\text{Dollars earned}}\\\\= \frac{1.5}{24} = \frac{1}{16}[/tex]
We have to find the equivalent ratios.
a) Hours = 8. Let x be the dollars earned.
[tex]\displaystyle\frac{1}{16} = \frac{8}{x}\\x = 8\times 16\\x = 128[/tex]
Thus, she earned $128 in 8 hours.
b) Hours = 12. Let x be the dollars earned.
[tex]\displaystyle\frac{1}{16} = \frac{12}{x}\\x = 12\times 16\\x = 192[/tex]
Thus, she earned $192 in 12 hours.
