Question

Question
Mirah weighed several bags of oranges, each containing a different number of oranges, and used the data to make the model y=0.18x+0.16
, where x is the number of oranges in a bag and y is the total weight of the bag in kilograms. Use the model to predict how many oranges will be in a bag that weighs 5 kilograms. Round to the nearest orange.(1 point)
According to the model, a bag that weighs 5 kilograms will contain approximately
oranges.

Answer 1

To find out how many oranges are in a bag that weighs 5 kilograms using the model \( y = 0.18x + 0.16 \), we need to set \( y = 5 \) and solve for \( x \).

Starting with the equation:

\[
5 = 0.18x + 0.16
\]

Now, subtract \( 0.16 \) from both sides:

\[
5 - 0.16 = 0.18x
\]

\[
4.84 = 0.18x
\]

Next, divide both sides by \( 0.18 \):

\[
x = \frac{4.84}{0.18}
\]

Calculating the right side gives:

\[
x \approx 26.89
\]

Rounding to the nearest orange, we find:

\[
x \approx 27
\]

Thus, according to the model, a bag that weighs 5 kilograms will contain approximately **27 oranges**.