Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Ezra enjoys gardening.
Let
S represent the number of sunflower plants and
L represent the number of lily plants Ezra's water supply can water.

0.7 S+0.5 L <= 11
Ezra waters 10 lily plants. How many sunflower plants can he water at most with the remaining amount of water?
Choose 1 answer:
(A) Ezra can water 7 sunflower plants at most.
(B) Ezra can water 8 sunflower plants at most.
(C) Ezra can water 10 sunflower plants at most.
(D) Ezra can water 11 sunflower plants at most.

Ezra enjoys gardening. $\newline$ Let $S$ represent the number of sunflower plants and $L$ represent the number of lily plants Ezra's water supply can water. $\newline$ $0.7S + 0.5L \leq 11$ $\newline$ Ezra waters $10$ lily plants. How many sunflower plants can he water at most with the remaining amount of water? $\newline$ Choose $1$ answer: $\newline$ (A) Ezra can water $7$ sunflower plants at most. $\newline$ (B) Ezra can water $8$ sunflower plants at most. $\newline$ (C) Ezra can water $10$ sunflower plants at most. $\newline$ (D) Ezra can water $11$ sunflower plants at most.

View step-by-step help

View step-by-step help

Modeling with linear inequalities

Full solution

Q. Ezra enjoys gardening.

\newline

Let

S

represent the number of sunflower plants and

L

represent the number of lily plants Ezra's water supply can water.

\newline

0.7S + 0.5L \leq 11

\newline

Ezra waters

10

lily plants. How many sunflower plants can he water at most with the remaining amount of water?

\newline

Choose

1

answer:

\newline

(A) Ezra can water

7

sunflower plants at most.

\newline

(B) Ezra can water

8

sunflower plants at most.

\newline

(C) Ezra can water

10

sunflower plants at most.

\newline

(D) Ezra can water

11

sunflower plants at most.

Substitute lily plants: Substitute the number of lily plants $L$ into the inequality. $\newline$ Given that Ezra waters $10$ lily plants, we substitute $L = 10$ into the inequality $0.7S + 0.5L \leq 11$ . $\newline$ $0.7S + 0.5(10) \leq 11$
Perform multiplication: Perform the multiplication to simplify the inequality. $0.7S + 5 \leq 11$
Isolate S: Isolate S by subtracting $5$ from both sides of the inequality. $\newline$ $0.7S \leq 11 - 5$ $\newline$ $0.7S \leq 6$
Divide by $0$ . $7$ : Divide both sides of the inequality by $0.7$ to solve for $S$ . $\newline$ $S \leq \frac{6}{0.7}$
Find maximum number of sunflower plants: Perform the division to find the maximum number of sunflower plants Ezra can water. $\newline$ $S \leq 8.57142857\ldots$ $\newline$ Since Ezra cannot water a fraction of a plant, we round down to the nearest whole number. $\newline$ $S \leq 8$

More problems from Modeling with linear inequalities

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 5 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 5 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 5 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 5 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 10 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 10 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 10 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 8 months ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 10 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 10 months ago

Related topics

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