Mathematics, 24.02.2020 19:47 gui00g7888888888888

A skate shop rents roller skates as shown in the table below which graph and function model this situation, where c is the cost, in dollars, of renting skates, and t is the number of hours in a single day that the skates are rented

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Answer from: crazylogic5094

A) Function

$c(t)=\begin{cases} 5\text{ if }0$

B) Graph: see the graph attached

Explnation:

The question is incomplete. The missing table is:

Roller Skate Rentals

Time Cost

Up to 60 minutes $5

Up to 2 hours $10

Up to 5 hours $20

Daily $25

Solution

1) Function

The situation is represented by a piecewise function;

Up to 60 minutes is up to 1 hour.

Of course for 0 minutes, the cost is zero.

If the times is greater than zero and less than or equal to 1 hour the cost is $5. That is modeled by:

$5\text{ }if\text{ }0$

Up to 2 hours

If the time is greater than 1 hour and less than or equal to 2 hours, the cost is $10. That is modeled by:

$10\text{ }if\text{ }1$

Up to 5 hours

If the time is greater than 2 hours and less than or equal to 5 hour, the cost is $20. That is modeled by:

$20\text{ }if\text{ }2$

Up to 1 day

If the time is greater than 5 hours and less than or equal to 24 hour, the cost is $25. That is modeled by:

$25\text{ }if\text{ }5$

Now joint the four pieces:

$c(t)=\begin{cases} 5\text{ if }0$

2) Graph

The graph of this piecewise function has 4 different horizontal line segments.

The first segment in the interval 0 < t ≤ 1 is at c(t) = 5, which means that:

the left end of the segment must show an open circle, and the right end of the segment must show a solid circle.

The second segment , in the interval 1 < t ≤ 2, at c(t) = 10:

the left end of the segment is an open circlethe right end of the segment is a solid circle

The third segment in the interval 2 < t ≤ 5, at c(t) = 20.

the left end of the segment shows an open circlethe right end of the segment shows a solid circle

The fourth segment in the interval 5 < t ≤ 24, at c(t) = 25.

the left end of the line shows an open circlethe right ent of the line shows a solid circle

See the graph attached

A skate shop rents roller skates as shown in the table below which graph and function model this sit

Answer from: Quest

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

$\newline{\text{the rate of change is change per unit time}}$ $\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}$ $\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}$ $\newline{\text{that means that the slope of function 1 is 30 per hour}}$ $\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}$ $\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}$ $\bigskip\newline{\text{the y intercept is the y value when x is 0}}$ $\newline{\text{for function 1, the y value when x is 0 is 45}}$ $\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}$ $\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}$ $\bigskip\bigskip\newline{\text{the answers are: }}$ $\newline{\text{ function 2 has a greater rate of change than function 1}}$ $\newline{\text{function 2 has a greater y-intercept than function 1.}}$

Answer from: Quest

It would be very great if u would let me take your dog home forever you i love you ti so much carmen you don’t even know bby
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The graphs of f(x) and g(x) are shown below: if f(x) = (x+7)^2, which of the following is g(x) bas

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A skate shop rents roller skates as shown in the table below which graph and function model this sit...

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