Question

1. the depth of a lake is 15.8 meter (m).

a. jada accurately measured the depth of the lake to the nearest m. what measurement did jada get?

b. by how many meters does the measured depth differ from the actual depth?

c. express the measurement error as a percentage of the actual depth.

1. noahs oven thermometer gives a reading that is 2% greater than the actual temperature.

a. if the actual temperature is 325°f, what will the thermometer reading be?

b. if the thermometer reading is 76°f, what is the actual temperature?

review problem
4.

a. fill in the table for side length and area of different squares.

b. is the relationship between the side length of a square and the area of a square proportional?

side length (cm)	area (sq. cm)
100
25
s

Explanation:

Problem 2a

Step1: Identify rounding rule

To round 15.8 to nearest meter, check decimal part.

Step2: Apply rounding

Since 0.8 ≥ 0.5, round up 15 to 16.

Step1: Identify values

Actual depth = 15.8 m, measured = 16 m.

Step2: Calculate difference

Difference = 16 - 15.8 = 0.2 m.

Step1: Recall percentage error formula

Percentage error = $\frac{\text{Error}}{\text{Actual}} \times 100\%$.

Step2: Substitute values

Error = 0.2, Actual = 15.8. So $\frac{0.2}{15.8} \times 100\% \approx 1.27\%$.

Answer:

16 meters

Problem 2b