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Ira Lisetskai [31]
2 years ago
5

2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of

1450 and a graduation rate of 90%. GVSU has an average SAT of 1110 and a graduation rate of 69.6%. Write an equation to represent the linear relationship . Be sure your equation is in slope-intercept form
Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

y = \frac{5000r}{3} -50

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

(r_1,y_1) = (90\%,1450)

(r_2,y_2) = (69.6\%,1110)

Required

Determine the equation in slope intercept form

First, we calculate the slope

m =\frac{y_2 - y_1}{r_2 - r_1}

This gives:

m =\frac{1110 - 1450}{69.6\% - 90\%}

m =\frac{-340}{-20.4\%}

Convert percentage to decimal

m =\frac{-340}{-0.204}

m =\frac{340}{0.204}

Multiply by 1000/1000

m =\frac{340*1000}{0.204*1000}

m =\frac{340000}{204}

m = \frac{5000}{3}

The equation is then calculated as:

y - y_1 = m(r - r_1)

This gives:

y - 1450 = \frac{5000}{3}(r - 90\%)

Open Bracket

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%

Convert percentage to decimal

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90

y - 1450 = \frac{5000r}{3} - 5000*0.30

y - 1450 = \frac{5000r}{3} - 1500

Make y the subject

y = \frac{5000r}{3} - 1500+1450

y = \frac{5000r}{3} -50

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Rewrite the equation 2x+6x^(2)-1=3x^(2) in standard form and identify a, b, and c.
Fed [463]
Hi there!

2x + 6 {x}^{2}  - 1 = 3 {x}^{2}
First subtract 3x^2 from both sides.

2x + 3 {x}^{2}  - 1 = 0
Now rearrange the equation.

3 {x}^{2}  + 2x - 1 = 0
Finally we can see our answer.

a = 3
b = 2
c =  - 1





8 0
3 years ago
The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the
nikdorinn [45]

Answer:

The population of the town at the end of 2017 was 65,550.

Step-by-step explanation:

The population of the town was 60,000 in the beginning of 2016.

In 2016, the total population is increased by 15%.

60,000\times\frac{15}{100}=9000

Therefore the population is increased by 9000 and the population of the town at the end of 2016 was

60,000+9000=69,000

In 2017, the total population is decreased by 5%.

69,000\times\frac{5}{100}=3450

Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was

69,000-3450=65,500

Therefore the population of the town at the end of 2017 was 65,550.

3 0
3 years ago
I need help with this question ASAP.
myrzilka [38]

Answer:

a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas

3 0
3 years ago
Hi please help i’ll give brain
NARA [144]

Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

7 0
2 years ago
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3. Find the slope between the two points (-3,3) and (3,-1) Your Answer:​
WARRIOR [948]
The slope is -2/3 I hope this helped
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