Question

Teresa wants to buy 2 new tires for her mountain bike. She has budgeted $120 for the tires, but after researching costs, knows she may end up

spending within $25 of that amount.

Write an inequality that Teresa could use to find the cost of each tire. Use the inequality to complete this statement.

Teresa may spend at least $

and at most $

for each new tire.

Answer 1

Explanation:

Answer 2

Inequality: 95 ≤ x ≤ 145

Minimum = 95

Maximum = 145

Explanation:

Given

Budget = $120

Range = $25

Solving (a) Write an inequality to determine how much she could spend.

The range implies that she can spend less or more of the budgeted amount.

Let the amount to spend be represented by x.

If she spends more, the maximum would be

Max = Budget + Range

Max = 120 + 25

Max = 145

If she spends less, the minimum would be

Min = Budget - Range

Min = 120 - 25

Min = 95

So, this means that x could fall within the range of the minimum and the maximum.

Mathematically, this is:

Min ≤ x ≤ Max

So, the inequality would be:

95 ≤ x ≤ 145

Solving (b): The minimum and maximum.

The minimum and the maximum amount have been solved in (a) above.

Minimum = 95

Maximum = 145