Question

Landen spent \[l\] hours at the beach last weekend. matéo spent \[15\%\] fewer hours at the beach than landen did. which of the following expressions could represent how many hours matéo spent at the beach last weekend? choose 2 answers: choose 2 answers: (choice a, checked) \[l-\dfrac{1}{15}l\] a \[l-\dfrac{1}{15}l\] (choice b) \[l(1-0.15)\] b \[l(1-0.15)\] (choice c) \[0.15l\] c \[0.15l\] (choice d) \[l-\dfrac{15}{100}\] d \[l-\dfrac{15}{100}\] (choice e) \[l-\dfrac{3}{20}l\] e \[l-\dfrac{3}{20}l\]

Answer 1

To represent 15% fewer hours than Landen's, the expressions B (l(1-0.15)) and E (l - \dfrac{3}{20}l) are correct.

Step-by-step explanation:

To find out how many hours Matéo spent at the beach, we need to calculate 15% less than Landen's hours (represented by l). A reduction by 15% can be calculated by either subtracting 15% of Landen's hours from his total hours, or by multiplying Landen's hours by 85% (which is the same as subtracting 15% from 100%).

Expression A: l - \dfrac{1}{6.67}l is not correct because \dfrac{1}{6.67} doesn’t represent 15%.

Expression B: l(1-0.15) is correct because it represents Landen's hours multiplied by 85%, which is what remains after a 15% reduction.

Expression C: 0.15l is not correct as it represents just 15% of Landen's hours, not 15% fewer.

Expression D: l - \dfrac{15}{100} is not correct as it subtracts 15 from Landen's hours, not 15%.

Expression E: l - \dfrac{3}{20}l is correct because \dfrac{3}{20} is the fractional form of 15%.