Question

y=7/35x+5

Using your equation what is the least amount of questions that a student would need to answer correctly on the practice to earn at least a 75% on the test?

Answer 1

To determine the least amount of questions a student would need to answer correctly to earn at least a 75% on the test, we first need to clarify what the equation represents. In your equation:

\[ y = \frac{7}{35}x + 5 \]

Let's interpret the equation:

- \( y \) could represent the score or percentage, given the context of the question about earning at least 75%.
- \( x \) might represent the number of questions answered correctly.

First, let's simplify the fraction \(\frac{7}{35}\):

\[
\frac{7}{35} = \frac{1}{5}
\]

Now we can rewrite the equation as:

\[
y = \frac{1}{5}x + 5
\]

Next, to find out how many questions a student needs to answer correctly (let's denote this as \( x \)) in order to achieve a score \( y \) of at least 75%, we need to set up the inequality:

\[
\frac{1}{5}x + 5 \geq 75
\]

Now, let's solve for \( x \):

1. Subtract 5 from both sides:

\[
\frac{1}{5}x \geq 75 - 5
\]
\[
\frac{1}{5}x \geq 70
\]

2. Multiply both sides by 5:

\[
x \geq 350
\]

This means that a student must correctly answer at least **350 questions** to earn at least a 75% score based on this equation.