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The American antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet, particularly at running long distances. The maximum recorded speed for the antelope is
88.5km//h, which it can sustain for nearly one kilometer.
On the other hand, the distance,
d, in kilometers that the wildebeest can run in
t hours is given by the equation
d=80.5 t.
Assuming both animals are running at constant speeds, which animal can run faster?
Choose 1 answer:
(A) The American antelope
B The wildebeest
(C) They can run at the same speed.

The American antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet, particularly at running long distances. The maximum recorded speed for the antelope is $88.5 \mathrm{~km} / \mathrm{h}$ , which it can sustain for nearly one kilometer. $\newline$ On the other hand, the distance, $d$ , in kilometers that the wildebeest can run in $t$ hours is given by the equation $d=80.5 t$ . $\newline$ Assuming both animals are running at constant speeds, which animal can run faster? $\newline$ Choose $1$ answer: $\newline$ (A) The American antelope $\newline$ B The wildebeest $\newline$ (C) They can run at the same speed.

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Evaluate a linear function: word problems

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Q. The American antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet, particularly at running long distances. The maximum recorded speed for the antelope is

88.5 \mathrm{~km} / \mathrm{h}

, which it can sustain for nearly one kilometer.

\newline

On the other hand, the distance,

d

, in kilometers that the wildebeest can run in

t

hours is given by the equation

d=80.5 t

.

\newline

Assuming both animals are running at constant speeds, which animal can run faster?

\newline

Choose

1

answer:

\newline

(A) The American antelope

\newline

B The wildebeest

\newline

(C) They can run at the same speed.

Identify Maximum Speeds: Identify the maximum speeds of both animals. The American antelope has a maximum recorded speed of $88.5\,\text{km/h}$ , and the wildebeest has a speed given by the equation $d = 80.5t$ , where $d$ is the distance in kilometers and $t$ is the time in hours.
Find Wildebeest's Speed: Since the wildebeest's speed is given by an equation, we need to find its speed in terms of km/h. To do this, we can set $t$ to $1$ hour to find the distance the wildebeest can cover in one hour, which will be its speed in km/h. So, $d = 80.5 \times 1$ .
Calculate Wildebeest's Speed: Calculate the speed of the wildebeest by substituting $t = 1$ into the equation. $d = 80.5 \times 1$ gives us $d = 80.5$ km/h. This is the speed of the wildebeest.
Compare Speeds: Compare the speeds of the American antelope and the wildebeest. The American antelope can run at $88.5\,\text{km/h}$ , and the wildebeest can run at $80.5\,\text{km/h}$ .
Determine Faster Animal: Determine which animal can run faster based on the speeds calculated. Since $88.5 \, \text{km/h}$ (American antelope) is greater than $80.5 \, \text{km/h}$ (wildebeest), the American antelope can run faster.

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