What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5 cents per kilowatt-hour?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To calculate the cost of lighting a 500-watt outdoor light for 8 hours, we follow these steps:<\/p>\n\n\n\n First, we need to convert the power consumption from watts to kilowatts, because the cost of electricity is typically charged per kilowatt-hour (kWh).<\/p>\n\n\n\n [ So, to convert 500 watts to kilowatts:<\/p>\n\n\n\n [ Now, we calculate how much energy the light uses in kilowatt-hours over 8 hours of operation.<\/p>\n\n\n\n [ [ Next, we calculate the cost of using 4 kWh of electricity. We know that the electricity costs 7.5 cents per kWh. To find the total cost, we multiply the energy used (in kWh) by the cost per kWh.<\/p>\n\n\n\n [ [ The cost of lighting a 500-watt outdoor light for 8 hours is 30 cents<\/strong>.<\/p>\n\n\n\n In this problem, we used basic principles of electrical energy consumption. The light consumes 500 watts, but since the electricity cost is based on kilowatt-hours, we converted watts to kilowatts. After calculating the total energy used over 8 hours, we multiplied that energy usage by the cost per kilowatt-hour to find the total cost. Understanding how to convert between units of power and apply energy costs is important for calculating electricity bills in real-world situations.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5 cents per kilowatt-hour? The Correct Answer and Explanation is: To calculate the cost of lighting a 500-watt outdoor light for 8 hours, we follow these steps: Step 1: Convert watts to kilowatts First, we need to convert the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-166192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=166192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert watts to kilowatts<\/h3>\n\n\n\n
1 \\text{ kilowatt} = 1000 \\text{ watts}
]<\/p>\n\n\n\n
500 \\, \\text{watts} = \\frac{500}{1000} \\, \\text{kilowatts} = 0.5 \\, \\text{kilowatts}
]<\/p>\n\n\n\nStep 2: Calculate the total energy used in kilowatt-hours<\/h3>\n\n\n\n
\\text{Energy used} = \\text{Power in kilowatts} \\times \\text{Time in hours}
]<\/p>\n\n\n\n
\\text{Energy used} = 0.5 \\, \\text{kilowatts} \\times 8 \\, \\text{hours} = 4 \\, \\text{kWh}
]<\/p>\n\n\n\nStep 3: Calculate the cost of electricity<\/h3>\n\n\n\n
\\text{Cost} = \\text{Energy used} \\times \\text{Cost per kWh}
]<\/p>\n\n\n\n
\\text{Cost} = 4 \\, \\text{kWh} \\times 7.5 \\, \\text{cents per kWh} = 30 \\, \\text{cents}
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n