Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

The graph gives the cost, in dollars, of buying a length of fabric $t$ metres long.
(a(i))[1]

Use the graph to determine the cost of $3.8\text{ m}$ of fabric.

(a(ii))[2]

Samira buys $k$ metres of fabric. She pays using a $\$20$ note and is given $\$1.50$ change. Use the graph to determine $k$.

(b)[2]

Anita cuts $10\text{ m}$ of fabric into three lengths for a blouse, a skirt and a dress. The lengths needed are in the ratio $6:8:11$. Find the length of fabric cut for the dress.

(c)[3]

A rectangular piece of fabric has an upper-bound area of $8.8125\text{ m}^2$. Its width is $2.3\text{ m}$, correct to the nearest $0.1\text{ m}$. Its length is $d$ metres, correct to the nearest $0.1\text{ m}$. Find $d$.

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