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Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.

Respuesta :

meerkat18
1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50
t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.
abidemiokin

The function that models the distance they drive as a function of time is 120 = 20 + 50t

The required domain must be within the range of 0 and 2 i.e. 0≤t≤2

The formula for calculating distance travelled is expressed as:

Distance = Speed × time

Given the following

Total distance = 120 miles

  • Distance already travelled = 20miles

  • If they are trying at a constant rate of 50mi/hr, the distance travelled at the time "t", this period will be 50t.

The required function that models the distance is expressed as;

120 = 20 + 50t

Hence the function that models the distance they drive as a function of time is 120 = 20 + 50t

To get a reasonable domain, we need to get the value of t as shown;

120 = 20 + 50t

120 - 20 = 50t

100 = 50t

t = 100/50

t = 2sec

Hence the required domain must be within the range of 0 and 2 i.e. 0≤t≤2

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