The magnitude of the slope of the budget line is the ratio of<\/p>\n\n\n\n
A) a price to its quantity.<\/p>\n\n\n\n
B) a quantity to its price.<\/p>\n\n\n\n
C) two prices.<\/p>\n\n\n\n
D) two marginal rates of substitution.<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n Correct Answer: C) two prices.<\/strong><\/p>\n\n\n\n The budget line<\/strong> in economics is a graphical representation that shows all the combinations of two goods a consumer can purchase with a given income, given the prices of the two goods. The slope<\/strong> of the budget line is particularly important because it reflects the rate at which one good can be traded for another while staying within budget.<\/p>\n\n\n\n Mathematically, the budget constraint<\/strong> is written as:<\/p>\n\n\n\n $$ Where:<\/p>\n\n\n\n To find the slope of the budget line<\/strong>, solve for $Y$:<\/p>\n\n\n\n $$ The slope here is $-\\frac{P_x}{P_y}$, and the magnitude<\/strong> of this slope is:<\/p>\n\n\n\n $$ This represents how many units of good Y a consumer must give up to afford one more unit of good X, without exceeding the budget. So, the slope is the ratio of the price of good X to the price of good Y<\/strong>.<\/p>\n\n\n\n This ratio is not<\/strong> about quantities (which rules out choices A and B), nor does it relate to marginal rates of substitution (MRS)<\/strong>, which refer to consumer preferences rather than budget constraints\u2014so choice D is also incorrect.<\/p>\n\n\n\n Thus, the slope of the budget line reflects the opportunity cost<\/strong> of one good in terms of another, purely in terms of prices<\/strong>, not preferences or quantities.<\/p>\n\n\n\n In conclusion:<\/strong> The magnitude of the slope of the budget line is the ratio of A) a price to its quantity. B) a quantity to its price. C) two prices. D) two marginal rates of substitution. The correct answer and explanation is : Correct Answer: C) two prices. Explanation: The budget line in economics is a graphical […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-457","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/457","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=457"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/457\/revisions"}],"predecessor-version":[{"id":458,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/457\/revisions\/458"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=457"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=457"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation:<\/strong><\/h3>\n\n\n\n
P_x \\cdot X + P_y \\cdot Y = I
$$<\/p>\n\n\n\n\n
Y = \\frac{I}{P_y} – \\frac{P_x}{P_y} \\cdot X
$$<\/p>\n\n\n\n
\\left| \\frac{P_x}{P_y} \\right|
$$<\/p>\n\n\n\n
\n\n\n\n
The magnitude of the slope of the budget line is the ratio of two prices<\/strong>, specifically the price of the good on the horizontal axis to the price of the good on the vertical axis, which is why Option C is correct<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"