Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read.
Let y represent the number of pages left to read after hours.
Complete the equation for the relationship between the number of pages left and number of hours. Y=

It will be explained below.  Basically, 463.846154 minutes in total to read the rest of the book, and she reads at 78 pages per 90 minutes, or 13 pages per 15 minutes.

Step-by-step explanation: Shryia read 78 pages in 90 minutes - she had read 480-402, which is 78.  This indicates a fairly annoying-to-calculate rate of 78 pages every 90 minutes, which is annoying to calculate, but please bear with it.  The quantity of remaining pages is 402, of course, and as such we can simply divide this by 78 pages/90 minutes.

1. 402 pages divided by 78 pages/90 minutes

2. 402 pages multiplied by 90 minutes/78 pages (flipped the fraction; 90 minutes is now the numerator.)

3. 402 multiplied by 90 minutes/78 (reduced and removed the "pages" from each.)

4. 36180 minutes/78 (multiplied 402 to 90.)

5. 463.846154 minutes (divided 36180 by 78).

I hope this provides some insights.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: