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Misha Larkins [42]
3 years ago
5

This graph shows how the length of time a kayak is rented is related to the

Mathematics
2 answers:
Serggg [28]3 years ago
6 0

Answer:

$8/hour

Step-by-step explanation:

Hi there!

In this scenario, the independent variable is time and the dependent variable is the cost. The cost of renting the kayak depends on how much time passes. Knowing this, the answer should be formatted like _ dollars/hour, not _hours/dollar. We can rule the first two options out.

Now, looking at the graph, when 1 hour passes, the cost is $8. This occurs at point (1,8). And this is constant throughout, for example, when 2 hours pass, the cost is $16 (2,16).

Therefore, the rate of change shown in the graph is $8/hour.

I hope this helps!

san4es73 [151]3 years ago
5 0

Answer:

option D.

Step-by-step explanation:

rate \: of \: change \:  =  \frac{change \: in \: y}{change \: in \: x}

let's take any point on the graph. let's say (2, 16)

and one point we know is (0, 0)

rate \: of \: change =  \frac{16 - 0}{2 - 0}

= 16($) / 2 (hrs)

= 8 $/ hrs

that is option D.

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A farm grows both beans and corn. Each year, beans earn $900 per acre and corn earns $600 per acre. The farm has a total of 58 a
beks73 [17]

Answer:

35 acres of beans and 23 acres of corn

Step-by-step explanation:

58 divided by 2 = 29 +8 = 35 x 900 = 31500

                          = 29 - 6 = 23 x 600 = 13800

                                                            = 45300

5 0
3 years ago
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the
Westkost [7]

Answer:

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

          <u>Left</u>      <u>Speed(km/h)</u>      <u>Time</u>

Car:   12PM            X  

Van:   12PM           60

Car/Van

DistanceCar        AB + z

DistanceVan       Az

Ratio:                  (AB+z)/Az  = 7/5

Time until both meet = T (in hours)

Distance Car:            xT

Distance Van:           60T

====

  xT = AB + z

  60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is:    time (hr) = 108 km/(84 km/h)

                                                 time = 1.286 hours

Distance for at 1.289 hours is:    distance (km) = (60 km/h)*(1.286 h)

                                                   distance = 77.14 km

At 1.286 hours, the car reverses direction.  The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours.  The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let <u>t</u> be the time <u>after</u> 1.286 hours that both vehicles meet/collide.

t*(60 km/h)  +  t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

==============

<u>CHECK</u>

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

<u><em>YES</em></u>

     

3 0
2 years ago
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Verdich [7]
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


4 0
3 years ago
What is the equations of the line passing through points (-3,7) and (9,-1)?
diamong [38]

Answer:


y = -2/3x + 5 or A.

8 0
3 years ago
Puppy A weighs 6 kilograms, which is about 30% of its adult weight.
ziro4ka [17]

Answer:

a.

<u>Required equation is</u>

  • 6 kg is 30% of w
  • 0.3w = 6

b.

<u>Solve the equation</u>

  • w = 6/0.3
  • w = 20 kg
3 0
3 years ago
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