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Orlov [11]
3 years ago
6

Why are graphs important and useful? In your own words please

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

Graphs are useful because it is easier to understand than it is to look at a bunch of words. They are quick and easy to use. They can show things that are not easy to see with words and numbers.

Step-by-step explanation:

hope i helped.

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Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.
Masja [62]

Answer:

a) f(x) = 0.5 \frac{dollars}{day} x + 20

g(x) = 0.55 \frac{dollars}{mi} x + 15

b) f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

f(x) = 0.5 \frac{dollars}{day} x + 20

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

g(x) = 0.55 \frac{dollars}{mi} x + 15

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

7 0
3 years ago
What is the shape of a parallel cross section of a sphere?
sertanlavr [38]
The answer is a circle. Hope this helped :)
4 0
4 years ago
Read 2 more answers
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

d=16t

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

f(t)=16t

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

t\geq0

The range of the function is the interval------->  [0,∞)

f(t)\geq0

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the  independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

f(t)=16t

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because 16 represent the rate or  the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function f(t)=16t

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0
3 years ago
Read 2 more answers
Carl can paint a room 3 hours faster than Jennifer can
Nata [24]
Jen take x hours.
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work
\frac{1}{x} + \frac{1}{x-3}
=\frac{(x-3)+x}{x(x-3)}
=\frac{2x-3}{x(x-3)}
Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=\frac{x(x-3)}{2x-3} =2
x^{2}-3x=4x-6
x^{2} -7x+6=0
x^{2}-x-6x+6=0
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6
8 0
3 years ago
Please help!!! Thank you!!!!!
ziro4ka [17]
3rd option


Hope this help!!!!
4 0
3 years ago
Read 2 more answers
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