Middle School

The temperature is changing every day by \(-\frac{3}{16}\) degrees Fahrenheit. What will be the change in temperature after 4 days?

A. \(-\frac{64}{3}\) degrees Fahrenheit
B. \(-\frac{3}{4}\) degrees Fahrenheit
C. \(\frac{3}{64}\) degrees Fahrenheit
D. \(\frac{3}{4}\) degrees Fahrenheit

Answer :

Answer:

[tex]-\frac{3}{4}[/tex] degrees Fahrenheit


Step-by-step explanation:

  • Everyday temperature is changing [tex]-\frac{3}{16}[/tex] degrees.
  • So, in 4 days, it is going to change [tex]4(-\frac{3}{16})=-\frac{12}{16}=-\frac{3}{4}[/tex] degrees.

Second answer choice is correct.

Answer:

Option B.

Step-by-step explanation:

It is given that the temperature is changing every day by negative 3 over 16 degrees Fahrenheit.

Change in the temperature after one day = [tex](-\frac{3}{16})^{\circ}Fahrenheit[/tex]

Change in the temperature after four days is 4 times of change in the temperature after one day.

Change in the temperature after four days = [tex]4\times (-\frac{3}{16})^{\circ}Fahrenheit[/tex]

Cancel out common factors.

Change in the temperature after four days = [tex](-\frac{3}{4})^{\circ}Fahrenheit[/tex]

The change in the temperature after 4 days will be negative 3 over 4 degrees Fahrenheit.

Therefore, the correct option is B.