Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Fabio and Carlos play on a basketball team together. In the last game, Fabio had $7$ points less than $2$ times as many points as Carlos. Fabio scored $31$ points in the game. Write an equation to determine the number of points Carlos scored in the last game. Find the number of points Carlos scored in the last game.

View step-by-step help

View step-by-step help

Write a linear function: word problems

Full solution

Q. Fabio and Carlos play on a basketball team together. In the last game, Fabio had

7

points less than

2

times as many points as Carlos. Fabio scored

31

points in the game. Write an equation to determine the number of points Carlos scored in the last game. Find the number of points Carlos scored in the last game.

Denote Carlos's Points: Let's denote the number of points Carlos scored as $C$ . According to the problem, Fabio scored $7$ points less than twice the points Carlos scored. We are also told that Fabio scored $31$ points. We can write this relationship as an equation. $\newline$ Fabio's points = $2 \times$ Carlos's points $- 7$ $\newline$ $31 = 2C - 7$
Solve for C: Now we need to solve the equation for C to find out how many points Carlos scored. We start by adding $7$ to both sides of the equation to isolate the term with $C$ on one side. $\newline$ $31 + 7 = 2C - 7 + 7$ $\newline$ $38 = 2C$
Divide by $2$ : Next, we divide both sides of the equation by $2$ to solve for $C$ . $\frac{38}{2} = \frac{2C}{2}$ $19 = C$
Final Solution: We have found that Carlos scored $19$ points in the last game. This is the solution to the equation we wrote based on the relationship between Fabio's and Carlos's points.

More problems from Write a linear function: word problems

Question

This equation shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.

\newline

t = s + 13

\newline

s

represents the number of shirts in the batch, and the variable

t

represents the time required to screen-print the shirts. How long does it take to screen-print a batch of

4

\newline

_________minutes

Posted 9 months ago

Question

Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of

3

. Write an equation that shows how the total number of pieces Krysta would learn,

y

, depends on the number of months of piano lessons,

x

\newline

y

Posted 9 months ago

Question

Tom bought a boat for

\$3,000

and incurs a daily storage fee of

\$15

. Write a linear function to represent the total amount Tom will owe,

p(x)

x

days to pick it up.

\newline

Posted 9 months ago

Question

180

-page book cover to cover in a single session, at a constant rate. It took him

6

\newline

\newline

y

represent the number of pages left to read after

\newline

t

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 10 months ago

Question

A charity organization had to sell

18

tickets to their fundraiser just to cover necessary production costs. They sold each ticket for

\$45

y

represent the net profit (in dollars) when they have sold

x

tickets. Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 8 months ago

Question

Hiro painted his room. After

3

hours of painting at a rate of

8

square meters per hour, he had

28

square meters left to paint.

\newline

\newline

y

represent the area (in square meters) left to paint after

\newline

x

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 8 months ago

Question

Naoya read a book cover to cover in a single session, at a rate of

55

pages per hour. After

4

350

pages left to read.

\newline

y

represent the number of pages left to read after

x

\newline

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

\newline

y=

Posted 7 months ago

Question

A teacher purchased

300

colored pencils for an upcoming project. The pencils she ordered come in packs of

20

30

14

packs in all. Write a system of equations to find the number of

20

(x)

30

(y)

the art teacher ordered.

Posted 8 months ago

Question

C=0.25(L-1200)

\newline

C

, in dollars, to the holder of a liability insurance account given a total liability of

L

dollars is given by the equation as long as

C

is positive. By how many dollars does the liability increase when the cost to the holder increases by

1

Posted 8 months ago

Question

P=\frac{2}{5} m+1.5

\newline

P

, in dollars, of a train ticket used to travel a distance of

m

miles is given by the equation. By how many miles does the traveling distance increase if the ticket price increases by

1

Posted 2 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant