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Naily [24]
3 years ago
5

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

ows how much sugar was in
the solution at different times

Complete the equation that represents tarns situation

Y=_________x+__________

Points on the graph
(0,1) and (12,7)
Please help
Mathematics
1 answer:
dusya [7]3 years ago
6 0
Equation of a line:
y=mx+c

m = gradient: The difference between two y points and two x points.
m= \frac{\Delta y}{\Delta x}

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
y=\textunderscore\textunderscore \ x + \textunderscore
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:

m= \frac{7-1}{12-0}
m= \frac{6}{12}
m=0.5

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

c=1

When you plug these values into the equation you get your answer:

y=0.5x+1
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A dealer offers a $35,000 car with a downpayment of $3,000 and 65 easy monthly payments of $539.99. How much monthly interest ra
m_a_m_a [10]

Answer:

9.68%

Step-by-step explanation:

cost of car = $35,000

down payment = $3,000

number of monthly instalments= $65

amount in every monthly instalment= $539.99

total monthly payment= 65×539.99= 35099.35

amount to be paid apart from downpayment= $35,000-3000= 32,000

therefore total interest paid in 65 months= 35099.35-3200= $3099.35

now, monthly interest rate r= \frac{3099.35}{32,000}\times100

⇒ r= 9.68%

5 0
3 years ago
Read 2 more answers
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 page
alina1380 [7]

She reads at 55 pages per hour for 4 hours so 55*4 = 220 pages so far. This means that she read 220 and had 330 left so 220 + 330 = 550 so the book is 550 pages. If she reads 55 pages per hour and there is a total of 550 pages, 550/55 = 10 hours to read the book.

4 0
3 years ago
Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?
LenKa [72]
Hello!

To find this out, figure out the amount of questions she got correct..

To get that number, multiply 96% as a decimal, (0.96) by 50.

0.96 * 50 = 48.

Turn 48 into fraction, (over 50)

48/50 is the answer.

Hope this helps!
3 0
3 years ago
Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells e
timurjin [86]

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

7 0
3 years ago
100 POINTS IF U GET THIS RIGHT!
Sloan [31]

Answer:

  • 5/6 km²  

Step-by-step explanation:

<u>Use the area equation:</u>

  • A = 1/2bh

<u>Substitute values:</u>

  • A = 1/2* 1 2/3 * 1 = 1/2*5/3 = 5/6 km²
4 0
3 years ago
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