Please, I need help with my homework, help me.

Question 1: (1 point)

For the functionf(x)=4x5

Evaluate each of the following:

f(1)

____________f(0)

____________f(1)

____________f(2)

____________f(2)

____________f(5)

____________

Question 2: (1 point)

Simplify the following expression.

(3xy)

4

x

3

__________

Question 3: (1 point)

Identify the slope and intercept of the linear function.

f(x)=3

4

x1

m=

____________

b=

____________

Question 4: (1 point)

Plot the ordered pairs (2,5), (1,4), and (-1, 8) on the coordinate plane pictured below.

Which of the following functions goes through these three points?

(a)f(x)=3x+4

(b)f(x)=x

2

2x+5

(c)f(x)=x

2

+4

Question 5: (1 point)

Draw a line on the coordinate plane that has the same slope as the line shown below, but a y-intercept ofb=1

.

Question 6: (1 point)

Draw both of the following functions on the coordinate plane shown below.

Function 1:f(x)=3

5

x+4

Function 2:x+10y=5

Question 7: (1 point)

Draw the graph of the following quadratic function.

f(x)=3x

2

6x+5

Question 8: (1 point)

Find the vertex, y-intercept, and direction of the following quadratic function.

f(x)=3x

2

+8x+5

x-coordinate of vertex:____________y-coordinate of vertex:____________y-intercept:____________

(a)parabola opens up

(b)parabola opens down

Question 9: (1 point)

Graph the exponential functionf(x)=3

2

(4

3

)

x

1

Use the following to help you plot the function.

Whenx=1

,f(x)=

____________

The y-intercept of the function is____________

The horizontal asymptote of the exponential function is aty=

____________

(To graph an exponential function, plot two points on the graph, and then select any point on the horizontal asymptote)

Question 10: (3 points)

Ashley is flying to Salt Lake City to visit her grandmother. She will arrive at night and rent a car to drive 26.5 miles to her grandmother's house. She will spend three days with her grandmother and then drive 26.5 miles back to the airport to fly home. Ashley has budgeted $230for her car rental.

Ashley and her grandmother want to visit a different destination each day from the list below. She needs to decide which destinations they can visit and still keep the total car rental cost inside of her $230 car rental budget.

DestinationMiles from Grandma's House

Park City Outlet Mall & Olympic Park38.1 miles(76.2 miles roundtrip)Grandeur Peak23.1 miles(46.2 miles roundtrip)Temple Square10.9 miles(21.8 miles roundtrip)Hogle Zoo22.7 miles(45.4 miles roundtrip)Lavelle Edwards Stadium53.3 miles(106.6 miles roundtrip)

The car rental fee for the vehicle Ashley wants is$38.86 per day. Also, there is a mileage fee of$0.43 per mile.

She has researched on the internet about the car and the area. She assumes the rental car gets about32 miles per gallon,and gas costs$2.88 a gallon.

Step 1: Create a linear function that uses the number of miles driven as the input and provides the total car rental cost (including gas) for Ashley's entire trip as the output.

To find the slope of the linear function compute the cost per mile by adding the mileage fee and the cost of gas per mile. Hint: to find the cost of gas per mile divide the cost per gallon by the miles per gallon. The "gallons" units cancel leaving the units "dollars per mile".

f(x) =$____________x (miles driven)+$____________

Step 2: Use your function above to determine how many total miles Ashley can drive and still stay within her $230 budget.

(Let f(x)=$230 and use algebra to solve for miles driven)

____________(Round to the nearest whole mile)

Find the total number of miles Ashley would drive (including to and from the airport) if they visited Lavelle Edwards Stadium on the first day, Park City Outlet Mall & Olympic Park on the second day, and Grandeur Peak on the third day?

____________

Use the function you created to find the cost of travel to and from the airport, Lavelle Edwards Stadium, Park City Outlet Mall & Olympic Park, and Grandeur Peak.

$____________(Round to the nearest whole dollar)

Would this trip fit in Ashley's rental car budget?

Yes

[]No

[]

Ashley wants to select three locations, plus the trip to the airport so that the total mileage is within the mileage requirement you calculated in Step 2.

Select a trip with three destinations for Ashley and her grandmother to visit that will be within the mileage requirement from Step 2.

Option 1: Park City, Grandeur Peak, & Lavelle Edwards Stadium

Option 2: Park City, Hogle Zoo, & Lavelle Edwards Stadium

Option 3: Park City, Grandeur Peak, & Temple Square

Option 4: Park City, Temple Square, & Hogle Zoo

Option 5: Grandeur Peak, Temple Square, & Hogle Zoo

Option 6: Park City, Temple Square, & Lavelle Edwards Stadium

Enter the option number into the blank below.

Option____________

Use your function to verify that the trip you selected fits within Ashley's rental car budget.

(a)Yes, I did the math to verify that this trip fits within Ashley's budget.

(b)No, I did not do the math to verify this trip doesn't fit within Ashley's budget. But budgets are not important anyway.