Question

Bicycle hire in San Francisco costs $c for & hours and is given by the formula

Draw the graph of c against t for 1 <= t <= 10 .

Use the graph to find how long a bicycle was hired for when the cost was $37.

I

b What is the gradient of this graph?

c = 4t + 5 for 1 <= t <= 10

Answer 1

The slope of a linear function is its gradient.

• The bicycle was hired for 8 hours.
• The gradient of the graph is 4.

The equation is given as:

$\mathbf{c = 4t + 5}$

(a) Determine t, when c = 37 from the graph

From the graph of $\mathbf{c = 4t + 5}$ (see attachment), the value of t when c = 37 is 8.

• The vertical axis represents cost (c)
• The horizontal axis represents time (t)

Hence, the bicycle was hired for 8 hours.

(b) The gradient

A linear equation is represented as: $\mathbf{c = mt + b}$

Where m represents the gradient.

By comparison $\mathbf{c = mt + b}$ and $\mathbf{c = 4t + 5}$,

$\mathbf{m = 4}$

Hence, the gradient of the graph is 4.

Read more about linear graphs at:

https://brainly.com/question/20853486