Sum

The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.

Length ‘x’ of forehand (in cm) |
Height 'y' (in inches) |

35 | 56 |

45 | 65 |

50 | 69.5 |

55 | 74 |

Find the length of forehand of a person if the height is 53.3 inches

Advertisement Remove all ads

#### Solution

When the height is 53.3 inches, the forehand length is 32 cm

y = 0.9x + 24.5

53.3 = 0.9x + 24.5

53.3 – 24.5 = 0.9x

28.8 = 0.9x

x = `28.8/0.9`

x = 32 cm

Concept: Functions

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads