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Mathematics

Grade-8

Easy

Question

The x-intercept of the equation, “Taxi company charges $5 for booking and $0.2 for every km. Represent the equation, taking x as the number of km and y as the total amount” is

25
- 50
2.5
- 25

hint Hint:

Make a simple equation using the given information and the substitute y=0 to find x-intercept.

The correct answer is: - 25

$H e r e comma F o r space b o o k i n g comma space t a x i space c h a r g e s space $ 5 F o r space e v e r y space k m comma space t a x i space c h a r g e s space $ 0.2 therefore space F o r space x space k m s comma space f a r e space c h a r g e d space b y space t a x i space equals space $ 0.2 x T o t a l space a m o u n t space c h a r g e d space b y space t a x i space i s space r e p r s e n t e d space b y space y H e n c e comma space t h e space e q u a t i o n space f o r m e d space w i l l space b e space a s T o t a l space a m o u n t space equals space B o o k i n g space f e e s space plus space F e e s space f o r space x space k m s y space equals space 5 space plus space 0.2 x W e space n e e d space t o space f i n d space t h e space x minus i n t e r c e p t space o f space t h e space e q u a t i o n. F o r space x minus i n t e r c e p t comma space y space equals space 0 T h e r e f o r e comma y space equals space 0.2 x space plus space 5 0 space equals space 0.2 x space plus space 5 0.2 x space equals space minus 5 x space equals space fraction numerator negative 5 over denominator 0.2 end fraction x space equals space minus 25 H e n c e comma space t h e space x minus i n t e r c e p t space o f space t h e space e q u a t i o n space i s space open parentheses negative 25 close parentheses.$

An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept set y = 0 and solve for x.

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