Question

a travel company is planning a trip for 120 people. each bus can seat at most 40 passengers.
what inequality could be used to determine the number of buses, b, needed to transport all of the people?
3.
objective: a - ced.2 create equations in two variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.* note the standard appears in future courses with a slight variation in the standard language.
use the information provided to answer part a and part b.
sarah sells cookies and milkshakes. she sells cookies for $2 and milkshakes for $5. last week, she sold a total of 60 items for a total of $210.
let c be the number of cookies and m be the number of milkshakes.
part a
what equation correctly models the fact that sarah sold a total of 60 items?
part b
what equation correctly models the fact that the total sales amount was $210?
1.
use the information provided to answer part a and part b.
a concession stand sells hot dogs and pretzels. they sell hot dogs for $4 and pretzels for $3. last week, they sold a total of 75 items for a total of $275.
let h be the number of hot dogs and p be the number of pretzels.
part a
what equation correctly models the fact that the stand sold a total of 75 items?
part b
what equation correctly models the fact that the total sales amount was $275?
2.
objective: a - ced.3 represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non - viable options in a modeling context. for example, represent inequalities describing nutritional and cost constraints on combinations of different foods.*

Explanation:

First Problem (Travel Company)

Step1: Analyze the total capacity

Each bus seats at most 40 passengers, and we have \( b \) buses. The total number of passengers the buses can carry is \( 40b \). This total must be at least 120 (to transport all people).

Step2: Form the inequality

So the inequality is \( 40b \geq 120 \).

Step1: Define variables

Let \( c \) be the number of cookies and \( m \) be the number of milkshakes.

Step2: Total items sold

The total number of items (cookies + milkshakes) is 60. So the equation is \( c + m = 60 \).

Step1: Revenue from each item

Cookies are $2 each, so revenue from cookies is LXI0. Milkshakes are $5 each, so revenue from milkshakes is \( 5m \).

Step2: Total revenue

Total revenue is $210, so the equation is \( 2c + 5m = 210 \).

Answer:

\( 40b \geq 120 \)

Sarah's Cookies and Milkshakes - Part A