Mid Module 1 Assessment

Write a ratio for the following description: For every 6 cups of flour in a bread recipe, there are 2 cups of milk.

If the student-to-faculty ratio at a small college is 17:3 and the total number of students and faculty is 740, how many faculty members are there at the college?

How many students are there at the college?

Do Nadhii and Dylan agree about the playlist? Prove your answer using an equivalent ratio.

Write a ratio sentence or story with the ratio 3:15.

What is the value of a ratio? Circle the best choice.

Choose the ratios or values of a ratio that are equivalent to 3:2. Choose all that apply.

How much money will Dominic make if he mows 7 lawns?

How many lawns will Dominic need to mow in order to make $240?

Write an equation based on the data provided for Seeds (s) and Petals (p).

If Kyra walks 2 miles in 42 minutes, how many minutes will it take her to walk 7 miles at the same rate?

Ratios and Relationships

For a bread recipe, the ratio of flour to milk is 6:2, which simplifies to 3:1.
The student-to-faculty ratio at a college is 17:3 with a total of 740, leading to 630 students and 110 faculty members.
Nadhii's liked to disliked playlist ratio is 75:25, simplifying to 3:1, which agrees with Dylan's statement of a 3:1 ratio.

Ratio Concepts

A ratio sentence can be expressed as 3:15, which simplifies to 1:5.
The best description of the value of a ratio is option b: a fraction.

Equivalent Ratios

Ratios equivalent to 3:2 include:
- 6:10
- 3/2
- 15 to 20
Ratios not equivalent:
- 12:8 and 24/16 are not equivalent (12:8 = 3:2).

Practical Applications of Ratios

Dominic charges $12 per lawn mowed:
- Completing the table and determining ordered pairs would show earnings corresponding to the number of lawns mowed.
To make $240, Dominic must mow 20 lawns.
For mowing 7 lawns, Dominic will earn $84.

Equations Based on Data

For seeds and petals:
- The relationship is given by P=4s or s=1/4p, establishing a linear relationship between seeds and petals.

Rate Problem

Kyra walks 2 miles in 42 minutes. To find the time to walk 7 miles:
- Use proportional reasoning to find the solution based on her rate of 21 minutes per mile, resulting in 147 minutes for 7 miles.

This assessment covers key concepts from the first module, including ratios and problem-solving techniques related to recipes and college demographics. Students are required to show their work while answering the provided questions. Perfect for gauging understanding of foundational mathematical principles.