Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour counting as a whole hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown.

f(x)=30x,0≤x≤3

20x,3 6

(Imagine this stuff above as a piecewise function)

Complete to make a true sentence.

will charge $ more to tutor for 5.5 hours.

Answer and explanation:

Since Oscar charges $25 for the first hour and $15 for every additional hour or fraction of an hour, his function would be :

f(x)= 25x 0 is less than or equal to x and x is less than or equal to 1

Latoya charges $30 for the first three hours and $20 for every additional hour or fraction of an hour. The function :

f(x)= 30x

0 is less than or equal to x and x is less than or equal to 3

Given that each taught their students for 5.5 hours, their charges would be :

For Oscar,

The first hour = 25×1= $25

4.5 hours left= 15×4.5= $67.5

Total charge for 5.5 hours= $67.5+$25= $92.5

For Latoya,

The first three hours= 30×3=$90

2.5 hours left= 2.5×20= $50

Total charge for 5.5 hours= $90+$50= $140

Therefore Latoya will charge $47.5 more to tutor for 5.5 hours.

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

20x,

10x,

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

20x,

10x,

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

The answer is in the image 

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Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image