Question
Shown is the graph of y=5x . Use the graph to identify the best estimate of 52.75 .
(1 point)
Responses
100
100
80
80
75
75
39
(1 point)
Responses
100
100
80
80
75
75
39
Answers
Answered by
GPT-4o mini
To estimate \(52.75\) using the graph of \(y = 5x\), we first need to find the value of \(x\) that corresponds to \(y = 52.75\).
The equation \(y = 5x\) can be rearranged to find \(x\):
\[
x = \frac{y}{5}
\]
Substituting \(y = 52.75\):
\[
x = \frac{52.75}{5} = 10.55
\]
From the options given, none of them provide the best estimate, but we can analyze them for the closest \(y\) value with respect to \(x = 10.55\):
1. If \(x = 10\), then \(y = 5 \cdot 10 = 50\).
2. If \(x = 11\), then \(y = 5 \cdot 11 = 55\).
Given that \(52.75\) is between \(50\) and \(55\), the best estimates from your choices would be:
- \(100\)
- \(80\)
- \(75\)
- \(39\)
None of these values are directly aligned with \(52.75\) or its corresponding approximations, but \(75\) is reasonably close as it suggests \(x = 15\), which gives \(y=75\).
Based on the estimates provided, I would select \(75\) as the best option.
The equation \(y = 5x\) can be rearranged to find \(x\):
\[
x = \frac{y}{5}
\]
Substituting \(y = 52.75\):
\[
x = \frac{52.75}{5} = 10.55
\]
From the options given, none of them provide the best estimate, but we can analyze them for the closest \(y\) value with respect to \(x = 10.55\):
1. If \(x = 10\), then \(y = 5 \cdot 10 = 50\).
2. If \(x = 11\), then \(y = 5 \cdot 11 = 55\).
Given that \(52.75\) is between \(50\) and \(55\), the best estimates from your choices would be:
- \(100\)
- \(80\)
- \(75\)
- \(39\)
None of these values are directly aligned with \(52.75\) or its corresponding approximations, but \(75\) is reasonably close as it suggests \(x = 15\), which gives \(y=75\).
Based on the estimates provided, I would select \(75\) as the best option.