Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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 x hours. Complete the equation for the relationship between the number of pages left and number of hours. y=

Shryia read a book cover to cover in a single session, at a constant rate. After reading for 11.55 hours, she had 402402 out of the total 480480 pages left to read.\newlineLet y y represent the number of pages left to read after x x hours.\newlineComplete the equation for the relationship between the number of pages left and number of hours.\newliney= y=

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write exponential functions: word problemsright chevron icon

Full solution

Q. Shryia read a book cover to cover in a single session, at a constant rate. After reading for 11.55 hours, she had 402402 out of the total 480480 pages left to read.\newlineLet y y represent the number of pages left to read after x x hours.\newlineComplete the equation for the relationship between the number of pages left and number of hours.\newliney= y=
  1. Determine Rate: Determine the rate at which Shryia is reading.\newlineShe read a certain number of pages in 1.51.5 hours. To find the rate, we need to calculate the number of pages she read in that time.\newlineTotal pages in the book: 480480\newlinePages left after 1.51.5 hours: 402402\newlinePages read in 1.51.5 hours = Total pages - Pages left\newlinePages read in 1.51.5 hours = 480−402480 - 402\newlinePages read in 1.51.5 hours = 7878
  2. Calculate Rate per Hour: Calculate the reading rate per hour.\newlineReading rate = Pages read / Time\newlineReading rate = 78 pages1.5 hours\frac{78 \text{ pages}}{1.5 \text{ hours}}\newlineReading rate = 5252 pages per hour
  3. Write Equation for Pages Left: Write the equation for the number of pages left after xx hours.\newlineSince Shryia reads 5252 pages per hour, after xx hours, she will have read 52×x52 \times x pages. The number of pages left, yy, will be the total number of pages minus the number of pages read.\newliney=Total pages−(Reading rate×Time)y = \text{Total pages} - (\text{Reading rate} \times \text{Time})\newliney=480−(52×x)y = 480 - (52 \times x)

More problems from Write exponential functions: word problems

Question
Use the following function rule to find f(2) f(2) .\newlinef(x)=11⋅(9)x+8 f(x) = 11 \cdot (9)^x + 8 \newlinef(2)= f(2) = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Raymond works for a pharmaceutical company that is testing the effectiveness of a new medication. He gave one of the study participants 400400 milligrams of the medication, and he knows the amount remaining in the participant's body will decrease by a factor of 1/31/3 each hour.\newlineWrite an exponential equation in the form y=a(b)xy = a(b)^x that can model the amount of medication, yy, remaining in the participant's body after xx hours.\newlineUse whole numbers, decimals, or simplified fractions for the values of aa and bb.\newliney=y = ______\newline
Get tutor helpright-arrow

Posted 8 months ago

Question
A colony of 100100 bacteria doubles in size every 6060 hours. What will the population be 180180 hours from now??
Get tutor helpright-arrow

Posted 4 months ago

Question
Charlotte opened a savings account and deposited $800.00\$800.00 as principal. The account earns 8%8\% interest, compounded annually. What is the balance after 1010 years?\newlineUse the formula A=P(1+rn)ntA = P(1 + \frac{r}{n})^{nt}, where AA is the balance (final amount), PP is the principal (starting amount), rr is the interest rate expressed as a decimal, nn is the number of times per year that the interest is compounded, and tt is the time in years.\newlineRound your answer to the nearest cent.
Get tutor helpright-arrow

Posted 4 months ago

Question
Bob rented a car for a flat fee of `$150` and an additional `$10` per day. Write a linear function that represents the total cost, f(x)f(x), after xx days.
Get tutor helpright-arrow

Posted 9 months ago

Question
Sally purchased a laptop for `$800` and has to pay a service fee of `$20` for each day until it is delivered. Write a linear function to represent the total cost, h(x)h(x), after xx days.
Get tutor helpright-arrow

Posted 9 months ago

Question
Kevin invested $1,000\$1,000 in a savings account with a daily interest rate of 0.1%0.1\%. Write an exponential function to represent the total amount, s(x)s(x), in his account after xx days.
Get tutor helpright-arrow

Posted 9 months ago

Question
A=2450+740s A=2450+740 s \newlineThe total amount, A A , in thousands of dollars, of scholarship money given out by a college throughout its history at a time of s s semesters after the summer of the year 20002000 is given by the equation. What was the total amount of scholarship money, in thousands of dollars, given out by the college up to the summer of the year 20002000 ?
Get tutor helpright-arrow

Posted 5 months ago

Question
T=235+980d T=235+980 d \newlineThe torque, T T , in newton-meters, on a diving board with a 100100 kilogram weight placed d d meters from the diving board's fulcrum is given by the equation. How much torque in newton-meters is on the diving board when the weight is placed at the fulcrum?
Get tutor helpright-arrow

Posted 8 months ago

Question
R=42−0.7t R=42-0.7 t \newlineQuinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The given equation shown gives the room's temperature, R R , in degrees Celsius, t t minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?
Get tutor helpright-arrow

Posted 7 months ago

View all (82)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant