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rusak2 [61]
3 years ago
13

A car travels at a constant speed of 40 miles per hour. The distance, d, the car travels in miles is a function of time, t, in h

ours given by d(t) = 40t. Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d).
t(d) =
Find t(180)

Interpret the meaning of t(180)
a) the number of minutes it takes for the car to travel 180 miles
b) the number of miles traveled in 180 hours
c) the number of hours it takes for the car to travel 180 miles
d) the number of miles traveled in 180 minutes
e) the speed of the car in miles per hour
SAT
2 answers:
motikmotik3 years ago
4 0

Answer:

c i think

Explanation:

Svetllana [295]3 years ago
4 0

Answer:

Explanation:

t=\frac{d}{40}\\a.\\t=\frac{180}{40}=\frac{9}{2}~hrs=\frac{9}{2}×60=270~minutes.

b.

d=40 t=40×180=7200~miles

c.

from t=9/2 hrs=4 1/2 hrs.

d.

180 minutes=180/60=3 hrs

d=40×3=120 miles.

e. 40 miles per hour.

c.

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uranmaximum [27]

Taking into account the definition of equation, each girl must complete 8 chores to have the same amount of money.

<h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

Each equation has two members, and these are separated by using the equal sign (=).

Each member is made up of terms.

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The equality between the two algebraic expressions is only verified or true for certain values ​​of the unknown.

<h3>Amount of chores</h3>

To find the amount of chores in this case, in first place you know Jennifer has $25.00 and earns $0.50 for every chore she completes. The money that Jennifer saves is expressed as: 25 + 0.50x, being x the amount of chores that Jennifer sells.

On the other side, Amaya has $13.00 and earns $2.00 for every chore she completes. The money that Amaya saves is expressed as: 13 + 2x, being x the amount of chores that Amaya sells.

They have the same amount of money, then it is expressed by the equation:

25 + 0.50x= 13 + 2x

Taking into account that:

  • When a value you are adding is passed to another side of the equation, this value will be passed by subtracting.
  • If a value you are subtracting is passed to the other side of the equation, this value will be passed adding.
  • When a value you are dividing goes to another side of the equation, it will be multiplied.
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The equation is solved as:

25 -13= 2x - 0.50x

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Finally, each girl must complete 8 chores to have the same amount of money.

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