Pauline travels between two cities. first she drives for 40 minutes at an average speed of 88 km/hr then for 40 minutes at an average speed of 75 km/hr, then she spends 17 minutes eating lunch and buying gas, and then she drives for 23 minutes at an average speed of 49 km/hr. find pauline's average speed for this trip. express it in kilometers per hour and round your answer to the nearest km/hr.

Pauline's average speed for this trip is 64 km/hr.

Explanation

First we will convert each 'minutes' into 'hours' . So......

40 minutes = and 23 minutes =

Now,  

So, the distance traveled for first 40 minutes at 88 km/hr speed ,

the distance traveled for next 40 minutes at 75 km/hr speed and

the distance traveled last 23 minutes at 49 km/hr speed

So, the total distance traveled

She spends 17 minutes eating lunch and buying gas.

So, the total time taken for the trip

Thus, Pauline's average speed for this trip = (Total distance / Total time) (Rounded to the nearest km/hr)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.