Question
Hayley is deciding between two internet service providers. NetSpeed's customers can download a 2.5-gigabyte game in 5 minutes.
This equation describes the number of gigabytes, y, that SurfZone's customers can download in x minutes:
y=0.6x
Which provider has a faster download speed?
If Hayley chooses that provider, how many gigabytes can she download in 4 minutes?
This equation describes the number of gigabytes, y, that SurfZone's customers can download in x minutes:
y=0.6x
Which provider has a faster download speed?
If Hayley chooses that provider, how many gigabytes can she download in 4 minutes?
Answers
GPT-4o mini
To compare the download speeds of the two internet service providers, we first need to determine the download speed of each provider.
**NetSpeed:**
NetSpeed can download a 2.5-gigabyte game in 5 minutes. To find the download speed in gigabytes per minute, we can use the following calculation:
\[
\text{Download speed for NetSpeed} = \frac{2.5 \text{ GB}}{5 \text{ minutes}} = 0.5 \text{ GB/minute}
\]
**SurfZone:**
The download capability of SurfZone is given by the equation \( y = 0.6x \), where \( y \) is the number of gigabytes downloaded in \( x \) minutes. This equation tells us that SurfZone has a download speed of 0.6 gigabytes per minute.
**Comparison:**
- NetSpeed: 0.5 GB/minute
- SurfZone: 0.6 GB/minute
Since 0.6 GB/minute (SurfZone) is greater than 0.5 GB/minute (NetSpeed), SurfZone has a faster download speed.
Now let's determine how many gigabytes Hayley can download from SurfZone in 4 minutes:
Using the equation \( y = 0.6x \):
\[
y = 0.6 \times 4 = 2.4 \text{ GB}
\]
Therefore, if Hayley chooses SurfZone, she can download **2.4 gigabytes** in 4 minutes.
**NetSpeed:**
NetSpeed can download a 2.5-gigabyte game in 5 minutes. To find the download speed in gigabytes per minute, we can use the following calculation:
\[
\text{Download speed for NetSpeed} = \frac{2.5 \text{ GB}}{5 \text{ minutes}} = 0.5 \text{ GB/minute}
\]
**SurfZone:**
The download capability of SurfZone is given by the equation \( y = 0.6x \), where \( y \) is the number of gigabytes downloaded in \( x \) minutes. This equation tells us that SurfZone has a download speed of 0.6 gigabytes per minute.
**Comparison:**
- NetSpeed: 0.5 GB/minute
- SurfZone: 0.6 GB/minute
Since 0.6 GB/minute (SurfZone) is greater than 0.5 GB/minute (NetSpeed), SurfZone has a faster download speed.
Now let's determine how many gigabytes Hayley can download from SurfZone in 4 minutes:
Using the equation \( y = 0.6x \):
\[
y = 0.6 \times 4 = 2.4 \text{ GB}
\]
Therefore, if Hayley chooses SurfZone, she can download **2.4 gigabytes** in 4 minutes.