Question

your monthly electric bill is proportional to the number of kilowatt-hours (kwh) of energy used at a rate of 5.3 cents per kwh. complete parts (a) through (c). (a) fill in the following table. (type integers or decimals rounded to the nearest hundredth as needed. do not include the $ symbol in your answers.) energy (kwh) cost ($) 0 0 600 31.8 1,200 63.6 1,800 95.4 (b) represent the relationship between cost ($), c, and energy used (kwh), e, with an equation. c = • e (type an integer or a decimal. do not include the $ symbol in your answer.)

Explanation:

Step1: Understand Proportional Relationship

The cost \( C \) is proportional to energy \( E \), so \( C = k \cdot E \), where \( k \) is the rate (in dollars per kwh). The rate is 5.3 cents per kwh, convert to dollars: \( 5.3 \) cents \( = \frac{5.3}{100} = 0.053 \) dollars per kwh.

Step2: Verify with Table Values

For \( E = 600 \), \( C = 0.053 \times 600 = 31.8 \), which matches the table. Similarly, \( 0.053 \times 1200 = 63.6 \) and \( 0.053 \times 1800 = 95.4 \), all match. So \( k = 0.053 \).

Answer:

\( 0.053 \)