Ayden spent 35 minutes studying for his math test. He scored a 72%. Olivia spent 75 minutes studying, and scored a 97%. Assume there is a linear relationship between these two quantities. Write an equation to represent the score a student got on the test as a function of the amount of time spent studying.

s = 0.625t + 50.125

Step-by-step explanation:

Let the equation that represents the relation between the time of study and marks obtained is,

s = mt + b

Here 's' = marks scored by the students

m = marks obtained by the study per minute

t = duration of study

b = marks obtained without study

Slope of the line having points and is given by,

m =

Slope of the line passing through two points (35, 72) and (75, 97)

m =

m =

m = 0.625

Equation of the line will be,

y = 0.625t + b

Since this line passes through (35, 72),

72 = 0.625(35) + b

b = 72 - 21.875

b = 50.125

Therefore, equation representing duration of study and the score obtained will be,

s = 0.625t + 50.125

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841