The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28°F, how much will it change each hour? Explain how you got your answer in two or more complete sentences.

Respuesta :

Answer:

-7 degrees

Step-by-step explanation:

-28 divided by 4 equals -7. -7 x 4 = -28

Answer:

[tex]-7^{\circ}F[/tex]

Step-by-step explanation:

Let x represent temperature change per hour.

We have been given that the temperature is going to steadily drop over the next 4 hours and the temperature changes by the same amount each hour.

So temperature change in 4 hours would be [tex]4x[/tex].

We are also told that the temperature changes by a total of -28°F, so we can represent this information in equation as:

[tex]4x=-28^{\circ}F[/tex]

Let us solve for x.

[tex]\frac{4x}{4}=-\frac{28^{\circ}F}{4}[/tex]

[tex]x=-7^{\circ}F[/tex]

Therefore, the temperature changes [tex]-7^{\circ}F[/tex] each hour.